49616864640 has 384 divisors, whose sum is σ = 196595942400. Its totient is φ = 11295461376.

The previous prime is 49616864611. The next prime is 49616864641. The reversal of 49616864640 is 4646861694.

It is a happy number.

49616864640 is a `hidden beast` number, since 4 + 96 + 16 + 86 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49616864641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10601821 + ... + 10606499.

It is an arithmetic number, because the mean of its divisors is an integer number (511968600).

Almost surely, 2^49616864640 is an apocalyptic number.

49616864640 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 49616864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98297971200).

49616864640 is an abundant number, since it is smaller than the sum of its proper divisors (146979077760).

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

49616864640 is a wasteful number, since it uses less digits than its factorization.

49616864640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4974 (or 4959 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 49616864640 in words is "forty-nine billion, six hundred sixteen million, eight hundred sixty-four thousand, six hundred forty".