7256442093120 has 896 divisors, whose sum is σ = 28565797478400. Its totient is φ = 1718975692800.

The previous prime is 7256442093091. The next prime is 7256442093133. The reversal of 7256442093120 is 213902446527.

7256442093120 is a `hidden beast` number, since 72 + 5 + 64 + 4 + 209 + 312 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4873365336 + ... + 4873366824.

It is an arithmetic number, because the mean of its divisors is an integer number (31881470400).

Almost surely, 2^{7256442093120} 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 7256442093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14282898739200).

7256442093120 is an abundant number, since it is smaller than the sum of its proper divisors (21309355385280).

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

7256442093120 is a wasteful number, since it uses less digits than its factorization.

7256442093120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2664 (or 2648 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 7256442093120 in words is "seven trillion, two hundred fifty-six billion, four hundred forty-two million, ninety-three thousand, one hundred twenty".