10049564672 has 104 divisors (see below), whose sum is σ = 23590866336. Its totient is φ = 4190109696.

The previous prime is 10049564663. The next prime is 10049564689. The reversal of 10049564672 is 27646594001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1056128 + ... + 1065600.

Almost surely, 2^10049564672 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 10049564672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11795433168).

10049564672 is an abundant number, since it is smaller than the sum of its proper divisors (13541301664).

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

10049564672 is an frugal number, since it uses more digits than its factorization.

10049564672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9541 (or 9519 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 10049564672 in words is "ten billion, forty-nine million, five hundred sixty-four thousand, six hundred seventy-two".