7680564412416 has 1440 divisors, whose sum is σ = 28112513184000. Its totient is φ = 2027390238720.

The previous prime is 7680564412309. The next prime is 7680564412429. The reversal of 7680564412416 is 6142144650867.

7680564412416 is a `hidden beast` number, since 7 + 6 + 8 + 0 + 564 + 41 + 24 + 16 = 666.

It is a super-2 number, since 2×7680564412416² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 86298476500 + ... + 86298476588.

It is an arithmetic number, because the mean of its divisors is an integer number (19522578600).

Almost surely, 2^{7680564412416} 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 7680564412416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14056256592000).

7680564412416 is an abundant number, since it is smaller than the sum of its proper divisors (20431948771584).

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

7680564412416 is an equidigital number, since it uses as much as digits as its factorization.

7680564412416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 7680564412416 in words is "seven trillion, six hundred eighty billion, five hundred sixty-four million, four hundred twelve thousand, four hundred sixteen".