616473092299680 has 4608 divisors, whose sum is σ = 2938495190400000. Its totient is φ = 120620615270400.

The previous prime is 616473092299663. The next prime is 616473092299717. The reversal of 616473092299680 is 86992290374616.

616473092299680 is a `hidden beast` number, since 6 + 1 + 6 + 4 + 7 + 309 + 229 + 96 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 616473092299599 and 616473092299608.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 224253578946 + ... + 224253581694.

It is an arithmetic number, because the mean of its divisors is an integer number (637694268750).

Almost surely, 2^{616473092299680} is an apocalyptic number.

616473092299680 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 616473092299680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469247595200000).

616473092299680 is an abundant number, since it is smaller than the sum of its proper divisors (2322022098100320).

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

616473092299680 is a wasteful number, since it uses less digits than its factorization.

616473092299680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2880 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 616473092299680 in words is "six hundred sixteen trillion, four hundred seventy-three billion, ninety-two million, two hundred ninety-nine thousand, six hundred eighty".