8025367736464 has 135 divisors (see below), whose sum is σ = 16994146014027. Its totient is φ = 3669817012992.

The previous prime is 8025367736369. The next prime is 8025367736501. The reversal of 8025367736464 is 4646377635208.

The square root of 8025367736464 is 2832908.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2587889950864 + 5437477785600 = 1608692^2 + 2331840^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23127860739 + ... + 23127861085.

Almost surely, 2^{8025367736464} is an apocalyptic number.

8025367736464 is the 2832908-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8025367736464

8025367736464 is an abundant number, since it is smaller than the sum of its proper divisors (8968778277563).

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

8025367736464 is an equidigital number, since it uses as much as digits as its factorization.

8025367736464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 61.

The spelling of 8025367736464 in words is "eight trillion, twenty-five billion, three hundred sixty-seven million, seven hundred thirty-six thousand, four hundred sixty-four".