9770304960 has 168 divisors, whose sum is σ = 36190976640. Its totient is φ = 2404988928.

The previous prime is 9770304953. The next prime is 9770304983. The reversal of 9770304960 is 694030779.

9770304960 is a `hidden beast` number, since 97 + 70 + 3 + 0 + 496 + 0 = 666.

It is a super-2 number, since 2×9770304960² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93040 + ... + 167919.

It is an arithmetic number, because the mean of its divisors is an integer number (215422480).

Almost surely, 2^9770304960 is an apocalyptic number.

9770304960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9770304960 is an abundant number, since it is smaller than the sum of its proper divisors (26420671680).

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

9770304960 is a wasteful number, since it uses less digits than its factorization.

9770304960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260995 (or 260982 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 9770304960 is about 98844.8529767737. The cubic root of 9770304960 is about 2137.8113238957.

The spelling of 9770304960 in words is "nine billion, seven hundred seventy million, three hundred four thousand, nine hundred sixty".