807263632152 has 96 divisors (see below), whose sum is σ = 2219511883680. Its totient is φ = 265013199360.

The previous prime is 807263632061. The next prime is 807263632177. The reversal of 807263632152 is 251236362708.

807263632152 is a `hidden beast` number, since 8 + 0 + 7 + 2 + 6 + 3 + 632 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×807263632152² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 807263632098 and 807263632107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4705678 + ... + 4874210.

It is an arithmetic number, because the mean of its divisors is an integer number (23119915455).

Almost surely, 2^807263632152 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 807263632152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109755941840).

807263632152 is an abundant number, since it is smaller than the sum of its proper divisors (1412248251528).

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

807263632152 is a wasteful number, since it uses less digits than its factorization.

807263632152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169553 (or 169546 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 807263632152 in words is "eight hundred seven billion, two hundred sixty-three million, six hundred thirty-two thousand, one hundred fifty-two".