616566807843840 has 2816 divisors, whose sum is σ = 2818827238809600. Its totient is φ = 124408037376000.

The previous prime is 616566807843817. The next prime is 616566807843869. The reversal of 616566807843840 is 48348708665616.

616566807843840 is a `hidden beast` number, since 6 + 1 + 6 + 5 + 6 + 6 + 80 + 78 + 438 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 31568614875 + ... + 31568634405.

Almost surely, 2^{616566807843840} is an apocalyptic number.

616566807843840 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 616566807843840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409413619404800).

616566807843840 is an abundant number, since it is smaller than the sum of its proper divisors (2202260430965760).

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

616566807843840 is a wasteful number, since it uses less digits than its factorization.

616566807843840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19709 (or 19685 counting only the distinct ones).

The product of its (nonzero) digits is 1114767360, while the sum is 72.

The spelling of 616566807843840 in words is "six hundred sixteen trillion, five hundred sixty-six billion, eight hundred seven million, eight hundred forty-three thousand, eight hundred forty".