8027640601344 has 576 divisors, whose sum is σ = 29255295175680. Its totient is φ = 2114434990080.

The previous prime is 8027640601333. The next prime is 8027640601411. The reversal of 8027640601344 is 4431060467208.

8027640601344 is a `hidden beast` number, since 8 + 0 + 2 + 7 + 6 + 4 + 0 + 601 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 8027640601344.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 510104644 + ... + 510120380.

Almost surely, 2^{8027640601344} is an apocalyptic number.

8027640601344 is a gapful number since it is divisible by the number (84) 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 8027640601344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14627647587840).

8027640601344 is an abundant number, since it is smaller than the sum of its proper divisors (21227654574336).

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

8027640601344 is a wasteful number, since it uses less digits than its factorization.

8027640601344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16593 (or 16573 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 8027640601344 in words is "eight trillion, twenty-seven billion, six hundred forty million, six hundred one thousand, three hundred forty-four".