49964765760 has 1344 divisors, whose sum is σ = 229634076672. Its totient is φ = 10050822144.

The previous prime is 49964765759. The next prime is 49964765819. The reversal of 49964765760 is 6756746994.

49964765760 is a `hidden beast` number, since 4 + 9 + 96 + 476 + 5 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 162751527 + ... + 162751833.

It is an arithmetic number, because the mean of its divisors is an integer number (170858688).

Almost surely, 2^49964765760 is an apocalyptic number.

49964765760 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 49964765760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114817038336).

49964765760 is an abundant number, since it is smaller than the sum of its proper divisors (179669310912).

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

49964765760 is a wasteful number, since it uses less digits than its factorization.

49964765760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 49964765760 in words is "forty-nine billion, nine hundred sixty-four million, seven hundred sixty-five thousand, seven hundred sixty".