8064748800 has 540 divisors, whose sum is σ = 30545503296. Its totient is φ = 2098483200.

The previous prime is 8064748787. The next prime is 8064748801. The reversal of 8064748800 is 88474608.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8064748801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 24364635 + ... + 24364965.

Almost surely, 2^8064748800 is an apocalyptic number.

8064748800 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 8064748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15272751648).

8064748800 is an abundant number, since it is smaller than the sum of its proper divisors (22480754496).

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

8064748800 is a wasteful number, since it uses less digits than its factorization.

8064748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 8064748800 is about 89803.9464611662. The cubic root of 8064748800 is about 2005.3812414677.

The spelling of 8064748800 in words is "eight billion, sixty-four million, seven hundred forty-eight thousand, eight hundred".