9251766480 has 480 divisors, whose sum is σ = 33437859840. Its totient is φ = 2111155200.

The previous prime is 9251766479. The next prime is 9251766497. The reversal of 9251766480 is 846671529.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38710201 + ... + 38710439.

It is an arithmetic number, because the mean of its divisors is an integer number (69662208).

Almost surely, 2^9251766480 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 9251766480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16718929920).

9251766480 is an abundant number, since it is smaller than the sum of its proper divisors (24186093360).

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

9251766480 is a wasteful number, since it uses less digits than its factorization.

9251766480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 9251766480 is about 96186.1033621801. The cubic root of 9251766480 is about 2099.3018450183.

The spelling of 9251766480 in words is "nine billion, two hundred fifty-one million, seven hundred sixty-six thousand, four hundred eighty".