616588632704 has 96 divisors (see below), whose sum is σ = 1381582060320. Its totient is φ = 273749414400.

The previous prime is 616588632701. The next prime is 616588632727. The reversal of 616588632704 is 407236885616.

It is a super-3 number, since 3×616588632704³ (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 616588632704.

It is not an unprimeable number, because it can be changed into a prime (616588632701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 203069 + ... + 1128899.

It is an arithmetic number, because the mean of its divisors is an integer number (14391479795).

Almost surely, 2^616588632704 is an apocalyptic number.

616588632704 is a gapful number since it is divisible by the number (64) 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 616588632704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690791030160).

616588632704 is an abundant number, since it is smaller than the sum of its proper divisors (764993427616).

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

616588632704 is a wasteful number, since it uses less digits than its factorization.

616588632704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925910 (or 925887 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 56.

The spelling of 616588632704 in words is "six hundred sixteen billion, five hundred eighty-eight million, six hundred thirty-two thousand, seven hundred four".