8032091362560 has 864 divisors, whose sum is σ = 29433570566400. Its totient is φ = 2096691609600.

The previous prime is 8032091362531. The next prime is 8032091362591. The reversal of 8032091362560 is 652631902308.

8032091362560 is a `hidden beast` number, since 8 + 0 + 3 + 2 + 0 + 9 + 13 + 625 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3290490940 + ... + 3290493380.

It is an arithmetic number, because the mean of its divisors is an integer number (34066632600).

Almost surely, 2^{8032091362560} is an apocalyptic number.

8032091362560 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 8032091362560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14716785283200).

8032091362560 is an abundant number, since it is smaller than the sum of its proper divisors (21401479203840).

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

8032091362560 is a wasteful number, since it uses less digits than its factorization.

8032091362560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2697 (or 2671 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 8032091362560 in words is "eight trillion, thirty-two billion, ninety-one million, three hundred sixty-two thousand, five hundred sixty".