8640007948800 has 600 divisors, whose sum is σ = 32427965272032. Its totient is φ = 2271532032000.

The previous prime is 8640007948739. The next prime is 8640007948841. The reversal of 8640007948800 is 88497000468.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 73554115 + ... + 73671485.

Almost surely, 2^{8640007948800} is an apocalyptic number.

8640007948800 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 8640007948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16213982636016).

8640007948800 is an abundant number, since it is smaller than the sum of its proper divisors (23787957323232).

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

8640007948800 is a wasteful number, since it uses less digits than its factorization.

8640007948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117482 (or 117452 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 8640007948800 in words is "eight trillion, six hundred forty billion, seven million, nine hundred forty-eight thousand, eight hundred".