9248722560 has 960 divisors, whose sum is σ = 42040801440. Its totient is φ = 1916006400.

The previous prime is 9248722541. The next prime is 9248722573. The reversal of 9248722560 is 652278429.

9248722560 is a `hidden beast` number, since 9 + 2 + 4 + 87 + 2 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 27941595 + ... + 27941925.

Almost surely, 2^9248722560 is an apocalyptic number.

9248722560 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 9248722560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21020400720).

9248722560 is an abundant number, since it is smaller than the sum of its proper divisors (32792078880).

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

9248722560 is a wasteful number, since it uses less digits than its factorization.

9248722560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 9248722560 is about 96170.2789847258. The cubic root of 9248722560 is about 2099.0715896101.

The spelling of 9248722560 in words is "nine billion, two hundred forty-eight million, seven hundred twenty-two thousand, five hundred sixty".