6448022152704 has 960 divisors, whose sum is σ = 22030742942208. Its totient is φ = 1795571712000.

The previous prime is 6448022152679. The next prime is 6448022152783. The reversal of 6448022152704 is 4072512208446.

6448022152704 is a `hidden beast` number, since 6 + 44 + 80 + 2 + 2 + 1 + 527 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6448022152704.

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, 3580244604 + ... + 3580246404.

Almost surely, 2^{6448022152704} is an apocalyptic number.

6448022152704 is a gapful number since it is divisible by the number (64) 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 6448022152704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11015371471104).

6448022152704 is an abundant number, since it is smaller than the sum of its proper divisors (15582720789504).

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

6448022152704 is a wasteful number, since it uses less digits than its factorization.

6448022152704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1979 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 6448022152704 in words is "six trillion, four hundred forty-eight billion, twenty-two million, one hundred fifty-two thousand, seven hundred four".