47972966400 has 504 divisors, whose sum is σ = 182066376024. Its totient is φ = 12032409600.

The previous prime is 47972966399. The next prime is 47972966441. The reversal of 47972966400 is 466927974.

It is a happy number.

47972966400 is a `hidden beast` number, since 479 + 72 + 9 + 66 + 40 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31333635 + ... + 31335165.

Almost surely, 2^47972966400 is an apocalyptic number.

47972966400 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 47972966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91033188012).

47972966400 is an abundant number, since it is smaller than the sum of its proper divisors (134093409624).

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

47972966400 is a wasteful number, since it uses less digits than its factorization.

47972966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 47972966400 in words is "forty-seven billion, nine hundred seventy-two million, nine hundred sixty-six thousand, four hundred".