47697638400 has 528 divisors, whose sum is σ = 176704900480. Its totient is φ = 12607488000.

The previous prime is 47697638389. The next prime is 47697638449. The reversal of 47697638400 is 483679674.

It is a happy number.

47697638400 is a `hidden beast` number, since 476 + 97 + 6 + 3 + 84 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104370972 + ... + 104371428.

Almost surely, 2^47697638400 is an apocalyptic number.

47697638400 is a gapful number since it is divisible by the number (40) 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 47697638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88352450240).

47697638400 is an abundant number, since it is smaller than the sum of its proper divisors (129007262080).

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

47697638400 is a wasteful number, since it uses less digits than its factorization.

47697638400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 47697638400 in words is "forty-seven billion, six hundred ninety-seven million, six hundred thirty-eight thousand, four hundred".