7993280064 has 448 divisors, whose sum is σ = 27640922112. Its totient is φ = 1978214400.

The previous prime is 7993279991. The next prime is 7993280093. The reversal of 7993280064 is 4600823997.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 7993279995 and 7993280022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49038447 + ... + 49038609.

Almost surely, 2^7993280064 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 7993280064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13820461056).

7993280064 is an abundant number, since it is smaller than the sum of its proper divisors (19647642048).

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

7993280064 is a wasteful number, since it uses less digits than its factorization.

7993280064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 7993280064 is about 89405.1456237279. The cubic root of 7993280064 is about 1999.4398484631.

The spelling of 7993280064 in words is "seven billion, nine hundred ninety-three million, two hundred eighty thousand, sixty-four".