616688478907200 has 2688 divisors, whose sum is σ = 2655062849863680. Its totient is φ = 138044279808000.

The previous prime is 616688478907199. The next prime is 616688478907201. The reversal of 616688478907200 is 2709874886616.

616688478907200 is a `hidden beast` number, since 6 + 1 + 6 + 6 + 88 + 478 + 9 + 0 + 72 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (616688478907199) and next prime (616688478907201).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616688478907201) 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, 404916925639 + ... + 404916927161.

Almost surely, 2^{616688478907200} is an apocalyptic number.

616688478907200 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 616688478907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327531424931840).

616688478907200 is an abundant number, since it is smaller than the sum of its proper divisors (2038374370956480).

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

616688478907200 is a wasteful number, since it uses less digits than its factorization.

616688478907200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 616688478907200 in words is "six hundred sixteen trillion, six hundred eighty-eight billion, four hundred seventy-eight million, nine hundred seven thousand, two hundred".