49672688808960 has 2112 divisors, whose sum is σ = 208904439744000. Its totient is φ = 10895587540992.

The previous prime is 49672688808917. The next prime is 49672688809097. The reversal of 49672688808960 is 6980888627694.

49672688808960 is a `hidden beast` number, since 496 + 7 + 2 + 68 + 8 + 8 + 0 + 8 + 9 + 60 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 49672688808960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 140715832144 + ... + 140715832496.

It is an arithmetic number, because the mean of its divisors is an integer number (98913087000).

Almost surely, 2^{49672688808960} is an apocalyptic number.

49672688808960 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 49672688808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104452219872000).

49672688808960 is an abundant number, since it is smaller than the sum of its proper divisors (159231750935040).

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

49672688808960 is a wasteful number, since it uses less digits than its factorization.

49672688808960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 4013162496, while the sum is 81.

The spelling of 49672688808960 in words is "forty-nine trillion, six hundred seventy-two billion, six hundred eighty-eight million, eight hundred eight thousand, nine hundred sixty".