616680605076480 has 704 divisors, whose sum is σ = 2518646355072000. Its totient is φ = 140168066236416.

The previous prime is 616680605076463. The next prime is 616680605076517. The reversal of 616680605076480 is 84670506086616.

616680605076480 is a `hidden beast` number, since 6 + 1 + 6 + 6 + 8 + 0 + 60 + 507 + 64 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 171434616 + ... + 174994824.

Almost surely, 2^{616680605076480} is an apocalyptic number.

616680605076480 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 616680605076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259323177536000).

616680605076480 is an abundant number, since it is smaller than the sum of its proper divisors (1901965749995520).

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

616680605076480 is a wasteful number, since it uses less digits than its factorization.

616680605076480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3560429 (or 3560405 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 616680605076480 in words is "six hundred sixteen trillion, six hundred eighty billion, six hundred five million, seventy-six thousand, four hundred eighty".