49677716880 has 640 divisors, whose sum is σ = 204511910400. Its totient is φ = 10941235200.

The previous prime is 49677716849. The next prime is 49677716917. The reversal of 49677716880 is 8861777694.

49677716880 is a `hidden beast` number, since 496 + 7 + 7 + 7 + 1 + 68 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11711560 + ... + 11715800.

It is an arithmetic number, because the mean of its divisors is an integer number (319549860).

Almost surely, 2^49677716880 is an apocalyptic number.

49677716880 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 49677716880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102255955200).

49677716880 is an abundant number, since it is smaller than the sum of its proper divisors (154834193520).

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

49677716880 is a wasteful number, since it uses less digits than its factorization.

49677716880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4320 (or 4308 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 49677716880 in words is "forty-nine billion, six hundred seventy-seven million, seven hundred sixteen thousand, eight hundred eighty".