49644509760 has 336 divisors, whose sum is σ = 181651631616. Its totient is φ = 12401197056.

The previous prime is 49644509753. The next prime is 49644509797. The reversal of 49644509760 is 6790544694.

It is a happy number.

49644509760 is a `hidden beast` number, since 4 + 9 + 64 + 4 + 509 + 76 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 49644509697 and 49644509706.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10915807 + ... + 10920353.

It is an arithmetic number, because the mean of its divisors is an integer number (540629856).

Almost surely, 2^49644509760 is an apocalyptic number.

49644509760 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 49644509760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90825815808).

49644509760 is an abundant number, since it is smaller than the sum of its proper divisors (132007121856).

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

49644509760 is a wasteful number, since it uses less digits than its factorization.

49644509760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4810 (or 4797 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 49644509760 in words is "forty-nine billion, six hundred forty-four million, five hundred nine thousand, seven hundred sixty".