616404723802560 has 2688 divisors, whose sum is σ = 2930214321635328. Its totient is φ = 119525953536000.

The previous prime is 616404723802559. The next prime is 616404723802561. The reversal of 616404723802560 is 65208327404616.

616404723802560 is a `hidden beast` number, since 6 + 1 + 6 + 4 + 0 + 4 + 7 + 2 + 380 + 256 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (616404723802559) and next prime (616404723802561).

It is a super-2 number, since 2×616404723802560² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 616404723802497 and 616404723802506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616404723802561) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5646176775 + ... + 5646285945.

It is an arithmetic number, because the mean of its divisors is an integer number (1090109494656).

Almost surely, 2^{616404723802560} is an apocalyptic number.

616404723802560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 616404723802560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465107160817664).

616404723802560 is an abundant number, since it is smaller than the sum of its proper divisors (2313809597832768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

616404723802560 is a wasteful number, since it uses less digits than its factorization.

616404723802560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109285 (or 109263 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 616404723802560 in words is "six hundred sixteen trillion, four hundred four billion, seven hundred twenty-three million, eight hundred two thousand, five hundred sixty".