9746759120400 has 405 divisors, whose sum is σ = 34427903683797. Its totient is φ = 2553529881600.

The previous prime is 9746759120389. The next prime is 9746759120419. The reversal of 9746759120400 is 40219576479.

The square root of 9746759120400 is 3121980.

It is a perfect power (a square), and thus also a powerful number.

9746759120400 is a `hidden beast` number, since 9 + 7 + 4 + 6 + 7 + 591 + 2 + 0 + 40 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 7479590493456 + 2267168626944 = 2734884^2 + 1505712^2 .

It is a super-2 number, since 2×9746759120400² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 11426446374 + ... + 11426447226.

Almost surely, 2^{9746759120400} is an apocalyptic number.

9746759120400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9746759120400 is the 3121980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9746759120400

9746759120400 is an abundant number, since it is smaller than the sum of its proper divisors (24681144563397).

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

9746759120400 is an equidigital number, since it uses as much as digits as its factorization.

9746759120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 9746759120400 in words is "nine trillion, seven hundred forty-six billion, seven hundred fifty-nine million, one hundred twenty thousand, four hundred".