8064921600 has 312 divisors, whose sum is σ = 29637659120. Its totient is φ = 2149908480.

The previous prime is 8064921587. The next prime is 8064921607. The reversal of 8064921600 is 61294608.

8064921600 is a `hidden beast` number, since 8 + 0 + 6 + 49 + 2 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8064921607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2763342 + ... + 2766258.

Almost surely, 2^8064921600 is an apocalyptic number.

8064921600 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 8064921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14818829560).

8064921600 is an abundant number, since it is smaller than the sum of its proper divisors (21572737520).

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

8064921600 is a wasteful number, since it uses less digits than its factorization.

8064921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2960 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 8064921600 is about 89804.9085518158. The cubic root of 8064921600 is about 2005.3955641872.

The spelling of 8064921600 in words is "eight billion, sixty-four million, nine hundred twenty-one thousand, six hundred".