49924304640 has 1080 divisors, whose sum is σ = 215183751552. Its totient is φ = 11008327680.

The previous prime is 49924304629. The next prime is 49924304653. The reversal of 49924304640 is 4640342994.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 157489762 + ... + 157490078.

Almost surely, 2^49924304640 is an apocalyptic number.

49924304640 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 49924304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107591875776).

49924304640 is an abundant number, since it is smaller than the sum of its proper divisors (165259446912).

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

49924304640 is a wasteful number, since it uses less digits than its factorization.

49924304640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 49924304640 in words is "forty-nine billion, nine hundred twenty-four million, three hundred four thousand, six hundred forty".