49767748800 has 1008 divisors, whose sum is σ = 215423569152. Its totient is φ = 9770803200.

The previous prime is 49767748799. The next prime is 49767748873. The reversal of 49767748800 is 884776794.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 133425414 + ... + 133425786.

Almost surely, 2^49767748800 is an apocalyptic number.

49767748800 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 49767748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107711784576).

49767748800 is an abundant number, since it is smaller than the sum of its proper divisors (165655820352).

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

49767748800 is a wasteful number, since it uses less digits than its factorization.

49767748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 60.

The spelling of 49767748800 in words is "forty-nine billion, seven hundred sixty-seven million, seven hundred forty-eight thousand, eight hundred".