9736451112960 has 2400 divisors, whose sum is σ = 42459086444544. Its totient is φ = 2102132736000.

The previous prime is 9736451112917. The next prime is 9736451112989. The reversal of 9736451112960 is 692111546379.

9736451112960 is a `hidden beast` number, since 9 + 7 + 3 + 6 + 451 + 1 + 129 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 9736451112897 and 9736451112906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 29415259995 + ... + 29415260325.

Almost surely, 2^{9736451112960} is an apocalyptic number.

9736451112960 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 9736451112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21229543222272).

9736451112960 is an abundant number, since it is smaller than the sum of its proper divisors (32722635331584).

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

9736451112960 is a wasteful number, since it uses less digits than its factorization.

9736451112960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 9736451112960 in words is "nine trillion, seven hundred thirty-six billion, four hundred fifty-one million, one hundred twelve thousand, nine hundred sixty".