8064291751200 has 108 divisors (see below), whose sum is σ = 28436708813058. Its totient is φ = 2150477798400.

The previous prime is 8064291751199. The next prime is 8064291751267. The reversal of 8064291751200 is 21571924608.

8064291751200 is a `hidden beast` number, since 8 + 0 + 6 + 42 + 91 + 7 + 512 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6873059209104 + 1191232542096 = 2621652^2 + 1091436^2 .

It is a super-3 number, since 3×8064291751200³ (a number of 40 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 560013061 + ... + 560027460.

Almost surely, 2^{8064291751200} is an apocalyptic number.

8064291751200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8064291751200 is an abundant number, since it is smaller than the sum of its proper divisors (20372417061858).

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

8064291751200 is a wasteful number, since it uses less digits than its factorization.

8064291751200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120040547 (or 1120040531 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 8064291751200 in words is "eight trillion, sixty-four billion, two hundred ninety-one million, seven hundred fifty-one thousand, two hundred".