7256452385280 has 320 divisors, whose sum is σ = 26689929235200. Its totient is φ = 1647484207104.

The previous prime is 7256452385243. The next prime is 7256452385317. The reversal of 7256452385280 is 825832546527.

It is an interprime number because it is at equal distance from previous prime (7256452385243) and next prime (7256452385317).

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×7256452385280² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7256452385280.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7557292 + ... + 8463188.

It is an arithmetic number, because the mean of its divisors is an integer number (83406028860).

Almost surely, 2^{7256452385280} is an apocalyptic number.

7256452385280 is a gapful number since it is divisible by the number (70) 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 7256452385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13344964617600).

7256452385280 is an abundant number, since it is smaller than the sum of its proper divisors (19433476849920).

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

7256452385280 is a wasteful number, since it uses less digits than its factorization.

7256452385280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906079 (or 906063 counting only the distinct ones).

The product of its (nonzero) digits is 32256000, while the sum is 57.

The spelling of 7256452385280 in words is "seven trillion, two hundred fifty-six billion, four hundred fifty-two million, three hundred eighty-five thousand, two hundred eighty".