49624565760 has 1728 divisors, whose sum is σ = 232458932160. Its totient is φ = 10032906240.

The previous prime is 49624565759. The next prime is 49624565779. The reversal of 49624565760 is 6756542694.

49624565760 is a `hidden beast` number, since 4 + 9 + 6 + 2 + 4 + 565 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a junction number, because it is equal to n+sod(n) for n = 49624565697 and 49624565706.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1341204462 + ... + 1341204498.

It is an arithmetic number, because the mean of its divisors is an integer number (134524845).

Almost surely, 2^49624565760 is an apocalyptic number.

49624565760 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 49624565760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116229466080).

49624565760 is an abundant number, since it is smaller than the sum of its proper divisors (182834366400).

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

49624565760 is a wasteful number, since it uses less digits than its factorization.

49624565760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 49624565760 in words is "forty-nine billion, six hundred twenty-four million, five hundred sixty-five thousand, seven hundred sixty".