8952652800 has 1188 divisors, whose sum is σ = 40814780916. Its totient is φ = 1857945600.

The previous prime is 8952652799. The next prime is 8952652811. The reversal of 8952652800 is 82562598.

It can be written as a sum of positive squares in 6 ways, for example, as 3186376704 + 5766276096 = 56448^2 + 75936^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 146764770 + ... + 146764830.

Almost surely, 2^8952652800 is an apocalyptic number.

8952652800 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 8952652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20407390458).

8952652800 is an abundant number, since it is smaller than the sum of its proper divisors (31862128116).

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

8952652800 is a wasteful number, since it uses less digits than its factorization.

8952652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 8952652800 is about 94618.4590870090. The cubic root of 8952652800 is about 2076.4297728064.

The spelling of 8952652800 in words is "eight billion, nine hundred fifty-two million, six hundred fifty-two thousand, eight hundred".