49680864 has 72 divisors (see below), whose sum is σ = 146535480. Its totient is φ = 16557696.

The previous prime is 49680859. The next prime is 49680871. The reversal of 49680864 is 46808694.

It is a happy number.

49680864 is a `hidden beast` number, since 496 + 80 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4582 + ... + 10970.

It is an arithmetic number, because the mean of its divisors is an integer number (2035215).

Almost surely, 2^49680864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49680864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73267740).

49680864 is an abundant number, since it is smaller than the sum of its proper divisors (96854616).

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

49680864 is an equidigital number, since it uses as much as digits as its factorization.

49680864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6414 (or 6394 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 49680864 is about 7048.4653648862. The cubic root of 49680864 is about 367.6176716059.

The spelling of 49680864 in words is "forty-nine million, six hundred eighty thousand, eight hundred sixty-four".