182630028672 has 768 divisors, whose sum is σ = 677891934720. Its totient is φ = 47656304640.

The previous prime is 182630028661. The next prime is 182630028683. The reversal of 182630028672 is 276820036281.

182630028672 is a `hidden beast` number, since 1 + 8 + 2 + 630 + 0 + 2 + 8 + 6 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (182630028661) and next prime (182630028683).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 319842147 + ... + 319842717.

It is an arithmetic number, because the mean of its divisors is an integer number (882671790).

Almost surely, 2^182630028672 is an apocalyptic number.

182630028672 is a gapful number since it is divisible by the number (12) 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 182630028672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338945967360).

182630028672 is an abundant number, since it is smaller than the sum of its proper divisors (495261906048).

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

182630028672 is a wasteful number, since it uses less digits than its factorization.

182630028672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 182630028672 in words is "one hundred eighty-two billion, six hundred thirty million, twenty-eight thousand, six hundred seventy-two".