47564630400 has 384 divisors, whose sum is σ = 188475436800. Its totient is φ = 10299432960.

The previous prime is 47564630369. The next prime is 47564630413. The reversal of 47564630400 is 403646574.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 1258174 + ... + 1295426.

It is an arithmetic number, because the mean of its divisors is an integer number (490821450).

Almost surely, 2^47564630400 is an apocalyptic number.

47564630400 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 47564630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94237718400).

47564630400 is an abundant number, since it is smaller than the sum of its proper divisors (140910806400).

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

47564630400 is a wasteful number, since it uses less digits than its factorization.

47564630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37306 (or 37289 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The spelling of 47564630400 in words is "forty-seven billion, five hundred sixty-four million, six hundred thirty thousand, four hundred".