616009413600 has 432 divisors, whose sum is σ = 2500406213760. Its totient is φ = 139787596800.

The previous prime is 616009413571. The next prime is 616009413601. The reversal of 616009413600 is 6314900616.

616009413600 is a `hidden beast` number, since 6 + 1 + 6 + 0 + 0 + 9 + 41 + 3 + 600 = 666.

616009413600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616009413601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6961635 + ... + 7049565.

Almost surely, 2^616009413600 is an apocalyptic number.

616009413600 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 616009413600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250203106880).

616009413600 is an abundant number, since it is smaller than the sum of its proper divisors (1884396800160).

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

616009413600 is a wasteful number, since it uses less digits than its factorization.

616009413600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88103 (or 88087 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 616009413600 in words is "six hundred sixteen billion, nine million, four hundred thirteen thousand, six hundred".