9700625664 has 288 divisors, whose sum is σ = 29881971840. Its totient is φ = 3101442048.

The previous prime is 9700625651. The next prime is 9700625681. The reversal of 9700625664 is 4665260079.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21226524 + ... + 21226980.

Almost surely, 2^9700625664 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 9700625664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14940985920).

9700625664 is an abundant number, since it is smaller than the sum of its proper divisors (20181346176).

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

9700625664 is a wasteful number, since it uses less digits than its factorization.

9700625664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 9700625664 is about 98491.7542944586. The cubic root of 9700625664 is about 2132.7170879776.

The spelling of 9700625664 in words is "nine billion, seven hundred million, six hundred twenty-five thousand, six hundred sixty-four".