9078622560 has 960 divisors, whose sum is σ = 40395801600. Its totient is φ = 1872211968.

The previous prime is 9078622547. The next prime is 9078622577. The reversal of 9078622560 is 652268709.

9078622560 is a `hidden beast` number, since 9 + 0 + 7 + 86 + 2 + 2 + 560 = 666.

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 39644526 + ... + 39644754.

It is an arithmetic number, because the mean of its divisors is an integer number (42078960).

Almost surely, 2^9078622560 is an apocalyptic number.

9078622560 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 9078622560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20197900800).

9078622560 is an abundant number, since it is smaller than the sum of its proper divisors (31317179040).

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

9078622560 is a wasteful number, since it uses less digits than its factorization.

9078622560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 9078622560 is about 95281.8060282235. The cubic root of 9078622560 is about 2086.1233633804.

The spelling of 9078622560 in words is "nine billion, seventy-eight million, six hundred twenty-two thousand, five hundred sixty".