49687080480 has 384 divisors, whose sum is σ = 184600684800. Its totient is φ = 12438945792.

The previous prime is 49687080433. The next prime is 49687080571. The reversal of 49687080480 is 8408078694.

49687080480 is a `hidden beast` number, since 4 + 9 + 6 + 87 + 0 + 80 + 480 = 666.

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 63 ways as a sum of consecutive naturals, for example, 45458814 + ... + 45459906.

It is an arithmetic number, because the mean of its divisors is an integer number (480730950).

Almost surely, 2^49687080480 is an apocalyptic number.

49687080480 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 49687080480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92300342400).

49687080480 is an abundant number, since it is smaller than the sum of its proper divisors (134913604320).

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

49687080480 is a wasteful number, since it uses less digits than its factorization.

49687080480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 49687080480 in words is "forty-nine billion, six hundred eighty-seven million, eighty thousand, four hundred eighty".