8807361998400 has 567 divisors, whose sum is σ = 36424520233491. Its totient is φ = 2012541511680.

The previous prime is 8807361998297. The next prime is 8807361998423. The reversal of 8807361998400 is 48991637088.

The square root of 8807361998400 is 2967720.

It is a perfect power (a square), and thus also a powerful number.

8807361998400 is a `hidden beast` number, since 8 + 8 + 0 + 7 + 3 + 619 + 9 + 8 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 356294385216 + 8451067613184 = 596904^2 + 2907072^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2492883034 + ... + 2492886566.

Almost surely, 2^{8807361998400} is an apocalyptic number.

8807361998400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8807361998400 is the 2967720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8807361998400

8807361998400 is an abundant number, since it is smaller than the sum of its proper divisors (27617158235091).

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

8807361998400 is an equidigital number, since it uses as much as digits as its factorization.

8807361998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7108 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 8807361998400 in words is "eight trillion, eight hundred seven billion, three hundred sixty-one million, nine hundred ninety-eight thousand, four hundred".