49839632640 has 864 divisors, whose sum is σ = 216704880000. Its totient is φ = 10785374208.

The previous prime is 49839632639. The next prime is 49839632657. The reversal of 49839632640 is 4623693894.

49839632640 is a `hidden beast` number, since 498 + 3 + 96 + 3 + 2 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32174586 + ... + 32176134.

Almost surely, 2^49839632640 is an apocalyptic number.

49839632640 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 49839632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108352440000).

49839632640 is an abundant number, since it is smaller than the sum of its proper divisors (166865247360).

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

49839632640 is a wasteful number, since it uses less digits than its factorization.

49839632640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 49839632640 in words is "forty-nine billion, eight hundred thirty-nine million, six hundred thirty-two thousand, six hundred forty".