9251947680 has 96 divisors (see below), whose sum is σ = 29931358464. Its totient is φ = 2400500736.

The previous prime is 9251947637. The next prime is 9251947693. The reversal of 9251947680 is 867491529.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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, 242712 + ... + 278231.

It is an arithmetic number, because the mean of its divisors is an integer number (311784984).

Almost surely, 2^9251947680 is an apocalyptic number.

It is an amenable number.

9251947680 is an abundant number, since it is smaller than the sum of its proper divisors (20679410784).

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

9251947680 is a wasteful number, since it uses less digits than its factorization.

9251947680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520998 (or 520990 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The square root of 9251947680 is about 96187.0452815763. The cubic root of 9251947680 is about 2099.3155501852.

The spelling of 9251947680 in words is "nine billion, two hundred fifty-one million, nine hundred forty-seven thousand, six hundred eighty".