7256821163904 has 1152 divisors, whose sum is σ = 24503660213760. Its totient is φ = 2044956672000.

The previous prime is 7256821163857. The next prime is 7256821163923. The reversal of 7256821163904 is 4093611286527.

It is a happy number.

7256821163904 is a `hidden beast` number, since 7 + 2 + 568 + 2 + 11 + 63 + 9 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×7256821163904² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 48058418229 + ... + 48058418379.

It is an arithmetic number, because the mean of its divisors is an integer number (21270538380).

It is a 1-persistent number, because it is pandigital, but 2⋅7256821163904 = 14513642327808 is not.

Almost surely, 2^{7256821163904} 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 7256821163904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12251830106880).

7256821163904 is an abundant number, since it is smaller than the sum of its proper divisors (17246839049856).

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

7256821163904 is a wasteful number, since it uses less digits than its factorization.

7256821163904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 7256821163904 in words is "seven trillion, two hundred fifty-six billion, eight hundred twenty-one million, one hundred sixty-three thousand, nine hundred four".