8374807728000 has 2560 divisors, whose sum is σ = 37193487851520. Its totient is φ = 1827422208000.

The previous prime is 8374807727981. The next prime is 8374807728011. The reversal of 8374807728000 is 8277084738.

It is a happy number.

8374807728000 is a `hidden beast` number, since 83 + 7 + 480 + 7 + 7 + 2 + 80 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 27279503847 + ... + 27279504153.

It is an arithmetic number, because the mean of its divisors is an integer number (14528706192).

Almost surely, 2^{8374807728000} is an apocalyptic number.

8374807728000 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 8374807728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18596743925760).

8374807728000 is an abundant number, since it is smaller than the sum of its proper divisors (28818680123520).

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

8374807728000 is a wasteful number, since it uses less digits than its factorization.

8374807728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 8374807728000 in words is "eight trillion, three hundred seventy-four billion, eight hundred seven million, seven hundred twenty-eight thousand".