49797296640 has 1800 divisors, whose sum is σ = 232412485140. Its totient is φ = 10144382976.

The previous prime is 49797296623. The next prime is 49797296701. The reversal of 49797296640 is 4669279794.

It can be written as a sum of positive squares in 6 ways, for example, as 5414605056 + 44382691584 = 73584^2 + 210672^2 .

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 179 ways as a sum of consecutive naturals, for example, 1717148146 + ... + 1717148174.

Almost surely, 2^49797296640 is an apocalyptic number.

49797296640 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 49797296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116206242570).

49797296640 is an abundant number, since it is smaller than the sum of its proper divisors (182615188500).

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

49797296640 is a wasteful number, since it uses less digits than its factorization.

49797296640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 49797296640 in words is "forty-nine billion, seven hundred ninety-seven million, two hundred ninety-six thousand, six hundred forty".