616707635040 has 768 divisors, whose sum is σ = 2565938995200. Its totient is φ = 135396458496.

The previous prime is 616707634943. The next prime is 616707635041. The reversal of 616707635040 is 40536707616.

616707635040 is a `hidden beast` number, since 6 + 1 + 6 + 7 + 0 + 7 + 635 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616707635041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 88388032 + ... + 88395008.

It is an arithmetic number, because the mean of its divisors is an integer number (3341066400).

Almost surely, 2^616707635040 is an apocalyptic number.

616707635040 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 616707635040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282969497600).

616707635040 is an abundant number, since it is smaller than the sum of its proper divisors (1949231360160).

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

616707635040 is a wasteful number, since it uses less digits than its factorization.

616707635040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7124 (or 7110 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 616707635040 in words is "six hundred sixteen billion, seven hundred seven million, six hundred thirty-five thousand, forty".