9076952263680 has 2112 divisors, whose sum is σ = 38405676441600. Its totient is φ = 1938704302080.

The previous prime is 9076952263579. The next prime is 9076952263783. The reversal of 9076952263680 is 863622596709.

9076952263680 is a `hidden beast` number, since 9 + 0 + 76 + 9 + 522 + 6 + 36 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (63) 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 (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 52467932074 + ... + 52467932246.

Almost surely, 2^{9076952263680} is an apocalyptic number.

9076952263680 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 9076952263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19202838220800).

9076952263680 is an abundant number, since it is smaller than the sum of its proper divisors (29328724177920).

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

9076952263680 is a wasteful number, since it uses less digits than its factorization.

9076952263680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 9076952263680 in words is "nine trillion, seventy-six billion, nine hundred fifty-two million, two hundred sixty-three thousand, six hundred eighty".