49972732704 has 384 divisors, whose sum is σ = 158854348800. Its totient is φ = 15223541760.

The previous prime is 49972732673. The next prime is 49972732729. The reversal of 49972732704 is 40723727994.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131853987 + ... + 131854365.

It is an arithmetic number, because the mean of its divisors is an integer number (413683200).

Almost surely, 2^49972732704 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 49972732704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79427174400).

49972732704 is an abundant number, since it is smaller than the sum of its proper divisors (108881616096).

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

49972732704 is a wasteful number, since it uses less digits than its factorization.

49972732704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 49972732704 in words is "forty-nine billion, nine hundred seventy-two million, seven hundred thirty-two thousand, seven hundred four".