9725362827264 has 312 divisors, whose sum is σ = 33294320725120. Its totient is φ = 2778673102848.

The previous prime is 9725362827211. The next prime is 9725362827281. The reversal of 9725362827264 is 4627282635279.

9725362827264 is a `hidden beast` number, since 9 + 7 + 2 + 5 + 362 + 8 + 2 + 7 + 264 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6269367 + ... + 7665225.

Almost surely, 2^{9725362827264} 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 9725362827264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16647160362560).

9725362827264 is an abundant number, since it is smaller than the sum of its proper divisors (23568957897856).

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

9725362827264 is an equidigital number, since it uses as much as digits as its factorization.

9725362827264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395905 (or 1395871 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 63.

The spelling of 9725362827264 in words is "nine trillion, seven hundred twenty-five billion, three hundred sixty-two million, eight hundred twenty-seven thousand, two hundred sixty-four".