49797312768 has 432 divisors, whose sum is σ = 171203608576. Its totient is φ = 13621063680.

The previous prime is 49797312751. The next prime is 49797312779. The reversal of 49797312768 is 86721379794.

49797312768 is a `hidden beast` number, since 497 + 9 + 73 + 1 + 2 + 76 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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, 51496221 + ... + 51497187.

Almost surely, 2^49797312768 is an apocalyptic number.

49797312768 is a gapful number since it is divisible by the number (48) 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 49797312768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85601804288).

49797312768 is an abundant number, since it is smaller than the sum of its proper divisors (121406295808).

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

49797312768 is a wasteful number, since it uses less digits than its factorization.

49797312768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1113 counting only the distinct ones).

The product of its digits is 32006016, while the sum is 63.

The spelling of 49797312768 in words is "forty-nine billion, seven hundred ninety-seven million, three hundred twelve thousand, seven hundred sixty-eight".