47976364800 has 1512 divisors, whose sum is σ = 221067871584. Its totient is φ = 10032906240.

The previous prime is 47976364783. The next prime is 47976364811. The reversal of 47976364800 is 846367974.

It is a happy number.

47976364800 is a `hidden beast` number, since 47 + 97 + 6 + 36 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 424569544 + ... + 424569656.

Almost surely, 2^47976364800 is an apocalyptic number.

47976364800 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 47976364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110533935792).

47976364800 is an abundant number, since it is smaller than the sum of its proper divisors (173091506784).

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

47976364800 is a wasteful number, since it uses less digits than its factorization.

47976364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 143 counting only the distinct ones).

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

The spelling of 47976364800 in words is "forty-seven billion, nine hundred seventy-six million, three hundred sixty-four thousand, eight hundred".