49627468800 has 1320 divisors, whose sum is σ = 227031885696. Its totient is φ = 10431037440.

The previous prime is 49627468771. The next prime is 49627468819. The reversal of 49627468800 is 886472694.

49627468800 is a `hidden beast` number, since 4 + 9 + 627 + 4 + 6 + 8 + 8 + 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 119 ways as a sum of consecutive naturals, for example, 188697469 + ... + 188697731.

Almost surely, 2^49627468800 is an apocalyptic number.

49627468800 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 49627468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113515942848).

49627468800 is an abundant number, since it is smaller than the sum of its proper divisors (177404416896).

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

49627468800 is a wasteful number, since it uses less digits than its factorization.

49627468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 49627468800 in words is "forty-nine billion, six hundred twenty-seven million, four hundred sixty-eight thousand, eight hundred".