7256399592960 has 1920 divisors, whose sum is σ = 31943869461504. Its totient is φ = 1540926996480.

The previous prime is 7256399592917. The next prime is 7256399593061. The reversal of 7256399592960 is 692959936527.

7256399592960 is a `hidden beast` number, since 7 + 2 + 563 + 9 + 9 + 59 + 2 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 6144283570 + ... + 6144284750.

Almost surely, 2^{7256399592960} is an apocalyptic number.

7256399592960 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 7256399592960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15971934730752).

7256399592960 is an abundant number, since it is smaller than the sum of its proper divisors (24687469868544).

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

7256399592960 is a wasteful number, since it uses less digits than its factorization.

7256399592960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 496011600, while the sum is 72.

The spelling of 7256399592960 in words is "seven trillion, two hundred fifty-six billion, three hundred ninety-nine million, five hundred ninety-two thousand, nine hundred sixty".