47136624400 has 60 divisors (see below), whose sum is σ = 114304215312. Its totient is φ = 18678421120.

The previous prime is 47136624391. The next prime is 47136624413. The reversal of 47136624400 is 442663174.

It is a super-2 number, since 2×47136624400² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 47136624400.

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, 507862 + ... + 593461.

Almost surely, 2^47136624400 is an apocalyptic number.

47136624400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47136624400 is an abundant number, since it is smaller than the sum of its proper divisors (67167590912).

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

47136624400 is a wasteful number, since it uses less digits than its factorization.

47136624400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101448 (or 1101437 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The spelling of 47136624400 in words is "forty-seven billion, one hundred thirty-six million, six hundred twenty-four thousand, four hundred".