900627856128 has 3456 divisors, whose sum is σ = 4136715878400. Its totient is φ = 186325401600.

The previous prime is 900627856099. The next prime is 900627856153. The reversal of 900627856128 is 821658726009.

900627856128 is a `hidden beast` number, since 9 + 0 + 0 + 6 + 2 + 78 + 561 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×900627856128² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 29052511473 + ... + 29052511503.

It is an arithmetic number, because the mean of its divisors is an integer number (1196966400).

Almost surely, 2^900627856128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900627856128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068357939200).

900627856128 is an abundant number, since it is smaller than the sum of its proper divisors (3236088022272).

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

900627856128 is a wasteful number, since it uses less digits than its factorization.

900627856128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 900627856128 in words is "nine hundred billion, six hundred twenty-seven million, eight hundred fifty-six thousand, one hundred twenty-eight".