49564934640 has 320 divisors, whose sum is σ = 184244457600. Its totient is φ = 12174852096.

The previous prime is 49564934597. The next prime is 49564934651. The reversal of 49564934640 is 4643946594.

49564934640 is a `hidden beast` number, since 4 + 9 + 564 + 9 + 34 + 6 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15638976 + ... + 15642144.

It is an arithmetic number, because the mean of its divisors is an integer number (575763930).

Almost surely, 2^49564934640 is an apocalyptic number.

49564934640 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 49564934640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92122228800).

49564934640 is an abundant number, since it is smaller than the sum of its proper divisors (134679522960).

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

49564934640 is a wasteful number, since it uses less digits than its factorization.

49564934640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3761 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 49564934640 in words is "forty-nine billion, five hundred sixty-four million, nine hundred thirty-four thousand, six hundred forty".