7130256496704 has 672 divisors, whose sum is σ = 23927050667520. Its totient is φ = 2086530969600.

The previous prime is 7130256496669. The next prime is 7130256496723. The reversal of 7130256496704 is 4076946520317.

7130256496704 is a `hidden beast` number, since 7 + 1 + 3 + 0 + 2 + 564 + 9 + 6 + 70 + 4 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 654687099 + ... + 654697989.

It is an arithmetic number, because the mean of its divisors is an integer number (35605730160).

Almost surely, 2^{7130256496704} 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 7130256496704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11963525333760).

7130256496704 is an abundant number, since it is smaller than the sum of its proper divisors (16796794170816).

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

7130256496704 is a wasteful number, since it uses less digits than its factorization.

7130256496704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11061 (or 11039 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 7130256496704 in words is "seven trillion, one hundred thirty billion, two hundred fifty-six million, four hundred ninety-six thousand, seven hundred four".