9747578880 has 600 divisors, whose sum is σ = 37966991832. Its totient is φ = 2378170368.

The previous prime is 9747578879. The next prime is 9747578891. The reversal of 9747578880 is 888757479.

9747578880 is a `hidden beast` number, since 9 + 7 + 475 + 7 + 88 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 383533056 + 9364045824 = 19584^2 + 96768^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 86261704 + ... + 86261816.

Almost surely, 2^9747578880 is an apocalyptic number.

9747578880 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 9747578880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18983495916).

9747578880 is an abundant number, since it is smaller than the sum of its proper divisors (28219412952).

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

9747578880 is a wasteful number, since it uses less digits than its factorization.

9747578880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 63.

The square root of 9747578880 is about 98729.8277117913. The cubic root of 9747578880 is about 2136.1524951094.

The spelling of 9747578880 in words is "nine billion, seven hundred forty-seven million, five hundred seventy-eight thousand, eight hundred eighty".