8730762868800 has 4032 divisors, whose sum is σ = 42027052953600. Its totient is φ = 1670027673600.

The previous prime is 8730762868787. The next prime is 8730762868801. The reversal of 8730762868800 is 88682670378.

It is a tau number, because it is divible by the number of its divisors (4032).

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

It is not an unprimeable number, because it can be changed into a prime (8730762868801) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 66647044735 + ... + 66647044865.

Almost surely, 2^{8730762868800} is an apocalyptic number.

8730762868800 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 8730762868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21013526476800).

8730762868800 is an abundant number, since it is smaller than the sum of its proper divisors (33296290084800).

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

8730762868800 is a wasteful number, since it uses less digits than its factorization.

8730762868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 8730762868800 in words is "eight trillion, seven hundred thirty billion, seven hundred sixty-two million, eight hundred sixty-eight thousand, eight hundred".