9726282165600 has 4320 divisors, whose sum is σ = 50110394729472. Its totient is φ = 1802787840000.

The previous prime is 9726282165563. The next prime is 9726282165641. The reversal of 9726282165600 is 65612826279.

9726282165600 is a `hidden beast` number, since 9 + 7 + 2 + 6 + 2 + 8 + 21 + 6 + 5 + 600 = 666.

9726282165600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 14075661255 + ... + 14075661945.

Almost surely, 2^{9726282165600} is an apocalyptic number.

9726282165600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9726282165600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25055197364736).

9726282165600 is an abundant number, since it is smaller than the sum of its proper divisors (40384112563872).

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

9726282165600 is a wasteful number, since it uses less digits than its factorization.

9726282165600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 9726282165600 in words is "nine trillion, seven hundred twenty-six billion, two hundred eighty-two million, one hundred sixty-five thousand, six hundred".