616414406400 has 756 divisors, whose sum is σ = 2463743253048. Its totient is φ = 151717847040.

The previous prime is 616414406347. The next prime is 616414406437. The reversal of 616414406400 is 4604414616.

616414406400 is a `hidden beast` number, since 6 + 1 + 6 + 4 + 1 + 4 + 4 + 0 + 640 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 60647719 + ... + 60657881.

Almost surely, 2^616414406400 is an apocalyptic number.

616414406400 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 616414406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231871626524).

616414406400 is an abundant number, since it is smaller than the sum of its proper divisors (1847328846648).

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

616414406400 is a wasteful number, since it uses less digits than its factorization.

616414406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10220 (or 10186 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 616414406400 in words is "six hundred sixteen billion, four hundred fourteen million, four hundred six thousand, four hundred".