47937464400 has 360 divisors, whose sum is σ = 179039281824. Its totient is φ = 10932096000.

The previous prime is 47937464383. The next prime is 47937464429. The reversal of 47937464400 is 446473974.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 47937464400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41218219 + ... + 41219381.

Almost surely, 2^47937464400 is an apocalyptic number.

47937464400 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 47937464400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89519640912).

47937464400 is an abundant number, since it is smaller than the sum of its proper divisors (131101817424).

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

47937464400 is a wasteful number, since it uses less digits than its factorization.

47937464400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 48.

The spelling of 47937464400 in words is "forty-seven billion, nine hundred thirty-seven million, four hundred sixty-four thousand, four hundred".