10725064704 has 192 divisors, whose sum is σ = 31774513680. Its totient is φ = 3483893760.

The previous prime is 10725064667. The next prime is 10725064711. The reversal of 10725064704 is 40746052701.

10725064704 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 5 + 0 + 647 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 12090949 + ... + 12091835.

Almost surely, 2^10725064704 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 10725064704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15887256840).

10725064704 is an abundant number, since it is smaller than the sum of its proper divisors (21049448976).

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

10725064704 is an frugal number, since it uses more digits than its factorization.

10725064704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 10725064704 in words is "ten billion, seven hundred twenty-five million, sixty-four thousand, seven hundred four".