10272737904 has 320 divisors, whose sum is σ = 33057884160. Its totient is φ = 2702453760.

The previous prime is 10272737899. The next prime is 10272737911. The reversal of 10272737904 is 40973727201.

It is a happy number.

It is a congruent number.

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, 29604259 + ... + 29604605.

It is an arithmetic number, because the mean of its divisors is an integer number (103305888).

Almost surely, 2^10272737904 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 10272737904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16528942080).

10272737904 is an abundant number, since it is smaller than the sum of its proper divisors (22785146256).

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

10272737904 is a wasteful number, since it uses less digits than its factorization.

10272737904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 42.

The spelling of 10272737904 in words is "ten billion, two hundred seventy-two million, seven hundred thirty-seven thousand, nine hundred four".