6456070842624 has 2016 divisors, whose sum is σ = 23105158191360. Its totient is φ = 1783134093312.

The previous prime is 6456070842619. The next prime is 6456070842631. The reversal of 6456070842624 is 4262480706546.

It is a happy number.

6456070842624 is a `hidden beast` number, since 6 + 4 + 5 + 6 + 0 + 7 + 0 + 8 + 4 + 2 + 624 = 666.

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 223 ways as a sum of consecutive naturals, for example, 109424929507 + ... + 109424929565.

It is an arithmetic number, because the mean of its divisors is an integer number (11460891960).

Almost surely, 2^{6456070842624} is an apocalyptic number.

6456070842624 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 6456070842624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11552579095680).

6456070842624 is an abundant number, since it is smaller than the sum of its proper divisors (16649087348736).

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

6456070842624 is a wasteful number, since it uses less digits than its factorization.

6456070842624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 6456070842624 in words is "six trillion, four hundred fifty-six billion, seventy million, eight hundred forty-two thousand, six hundred twenty-four".