9746976800 has 144 divisors (see below), whose sum is σ = 27087141312. Its totient is φ = 3390182400.

The previous prime is 9746976769. The next prime is 9746976847. The reversal of 9746976800 is 86796479.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178322 + ... + 226478.

It is an arithmetic number, because the mean of its divisors is an integer number (188105148).

Almost surely, 2^9746976800 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 9746976800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13543570656).

9746976800 is an abundant number, since it is smaller than the sum of its proper divisors (17340164512).

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

9746976800 is a wasteful number, since it uses less digits than its factorization.

9746976800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48211 (or 48198 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 56.

The square root of 9746976800 is about 98726.7785355118. The cubic root of 9746976800 is about 2136.1085128655.

The spelling of 9746976800 in words is "nine billion, seven hundred forty-six million, nine hundred seventy-six thousand, eight hundred".