7582752718464 has 512 divisors, whose sum is σ = 25343032412160. Its totient is φ = 1951479889920.

The previous prime is 7582752718363. The next prime is 7582752718613. The reversal of 7582752718464 is 4648172572857.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 7582752718395 and 7582752718404.

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, 1701310924 + ... + 1701315380.

It is an arithmetic number, because the mean of its divisors is an integer number (49498110180).

Almost surely, 2^{7582752718464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7582752718464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12671516206080).

7582752718464 is an abundant number, since it is smaller than the sum of its proper divisors (17760279693696).

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

7582752718464 is a wasteful number, since it uses less digits than its factorization.

7582752718464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5008 (or 4996 counting only the distinct ones).

The product of its digits is 210739200, while the sum is 66.

The spelling of 7582752718464 in words is "seven trillion, five hundred eighty-two billion, seven hundred fifty-two million, seven hundred eighteen thousand, four hundred sixty-four".