9077305457664 has 176 divisors, whose sum is σ = 26898567472800. Its totient is φ = 3023969845248.

The previous prime is 9077305457543. The next prime is 9077305457681. The reversal of 9077305457664 is 4667545037709.

It is a happy number.

9077305457664 is a `hidden beast` number, since 9 + 0 + 7 + 7 + 3 + 0 + 54 + 576 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46821922 + ... + 47015390.

Almost surely, 2^{9077305457664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9077305457664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13449283736400).

9077305457664 is an abundant number, since it is smaller than the sum of its proper divisors (17821262015136).

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

9077305457664 is a wasteful number, since it uses less digits than its factorization.

9077305457664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195195 (or 195171 counting only the distinct ones).

The product of its (nonzero) digits is 133358400, while the sum is 63.

The spelling of 9077305457664 in words is "nine trillion, seventy-seven billion, three hundred five million, four hundred fifty-seven thousand, six hundred sixty-four".