49749672960 has 1408 divisors, whose sum is σ = 211289702400. Its totient is φ = 10988421120.

The previous prime is 49749672953. The next prime is 49749672961. The reversal of 49749672960 is 6927694794.

49749672960 is a `hidden beast` number, since 497 + 4 + 9 + 67 + 29 + 60 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (49749672961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1058503657 + ... + 1058503703.

Almost surely, 2^49749672960 is an apocalyptic number.

49749672960 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 49749672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105644851200).

49749672960 is an abundant number, since it is smaller than the sum of its proper divisors (161540029440).

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

49749672960 is a wasteful number, since it uses less digits than its factorization.

49749672960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 120 counting only the distinct ones).

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

The spelling of 49749672960 in words is "forty-nine billion, seven hundred forty-nine million, six hundred seventy-two thousand, nine hundred sixty".