8007056276632 has 96 divisors (see below), whose sum is σ = 17768993587200. Its totient is φ = 3371796181824.

The previous prime is 8007056276551. The next prime is 8007056276669. The reversal of 8007056276632 is 2366726507008.

It is a super-2 number, since 2×8007056276632² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8007056276632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48185193 + ... + 48351079.

It is an arithmetic number, because the mean of its divisors is an integer number (185093683200).

Almost surely, 2^{8007056276632} 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 8007056276632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8884496793600).

8007056276632 is an abundant number, since it is smaller than the sum of its proper divisors (9761937310568).

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

8007056276632 is a wasteful number, since it uses less digits than its factorization.

8007056276632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168053 (or 168042 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 52.

The spelling of 8007056276632 in words is "eight trillion, seven billion, fifty-six million, two hundred seventy-six thousand, six hundred thirty-two".