9760773728160 has 3456 divisors, whose sum is σ = 46484257397760. Its totient is φ = 1910265348096.

The previous prime is 9760773728137. The next prime is 9760773728171. The reversal of 9760773728160 is 618273770679.

9760773728160 is a `hidden beast` number, since 9 + 7 + 60 + 77 + 372 + 81 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 40840057321 + ... + 40840057559.

It is an arithmetic number, because the mean of its divisors is an integer number (13450305960).

Almost surely, 2^{9760773728160} is an apocalyptic number.

9760773728160 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 9760773728160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23242128698880).

9760773728160 is an abundant number, since it is smaller than the sum of its proper divisors (36723483669600).

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

9760773728160 is a wasteful number, since it uses less digits than its factorization.

9760773728160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 37340352, while the sum is 63.

The spelling of 9760773728160 in words is "nine trillion, seven hundred sixty billion, seven hundred seventy-three million, seven hundred twenty-eight thousand, one hundred sixty".