49724872704 has 576 divisors, whose sum is σ = 169420960800. Its totient is φ = 14353956864.

The previous prime is 49724872699. The next prime is 49724872733. The reversal of 49724872704 is 40727842794.

49724872704 is a `hidden beast` number, since 4 + 97 + 2 + 487 + 2 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158865252 + ... + 158865564.

Almost surely, 2^49724872704 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 49724872704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84710480400).

49724872704 is an abundant number, since it is smaller than the sum of its proper divisors (119696088096).

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

49724872704 is a wasteful number, since it uses less digits than its factorization.

49724872704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 49724872704 in words is "forty-nine billion, seven hundred twenty-four million, eight hundred seventy-two thousand, seven hundred four".