8952366240 has 240 divisors, whose sum is σ = 31879203048. Its totient is φ = 2365784064.

The previous prime is 8952366233. The next prime is 8952366253. The reversal of 8952366240 is 426632598.

8952366240 is a `hidden beast` number, since 89 + 523 + 6 + 6 + 2 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4673636496 + 4278729744 = 68364^2 + 65412^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×8952366240² (a number of 21 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 1461424 + ... + 1467536.

Almost surely, 2^8952366240 is an apocalyptic number.

8952366240 is a gapful number since it is divisible by the number (80) 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 8952366240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15939601524).

8952366240 is an abundant number, since it is smaller than the sum of its proper divisors (22926836808).

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

8952366240 is a wasteful number, since it uses less digits than its factorization.

8952366240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6253 (or 6236 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 8952366240 is about 94616.9447826339. The cubic root of 8952366240 is about 2076.4076181789.

The spelling of 8952366240 in words is "eight billion, nine hundred fifty-two million, three hundred sixty-six thousand, two hundred forty".