616000123872 has 72 divisors (see below), whose sum is σ = 2002000409136. Its totient is φ = 176000034816.

The previous prime is 616000123789. The next prime is 616000123883. The reversal of 616000123872 is 278321000616.

616000123872 is a `hidden beast` number, since 6 + 1 + 600 + 0 + 12 + 38 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×616000123872² (a number of 24 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 152775793 + ... + 152779824.

It is an arithmetic number, because the mean of its divisors is an integer number (27805561238).

Almost surely, 2^616000123872 is an apocalyptic number.

It is an amenable number.

616000123872 is an abundant number, since it is smaller than the sum of its proper divisors (1386000285264).

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

616000123872 is a wasteful number, since it uses less digits than its factorization.

616000123872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305555640 (or 305555629 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 616000123872 in words is "six hundred sixteen billion, one hundred twenty-three thousand, eight hundred seventy-two".