7032116625408 has 360 divisors, whose sum is σ = 24237015919200. Its totient is φ = 2009169985536.

The previous prime is 7032116625379. The next prime is 7032116625409. The reversal of 7032116625408 is 8045266112307.

7032116625408 is a `hidden beast` number, since 7 + 0 + 3 + 2 + 1 + 16 + 625 + 4 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (7032116625409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21513823 + ... + 21838241.

It is an arithmetic number, because the mean of its divisors is an integer number (67325044220).

Almost surely, 2^{7032116625408} 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 7032116625408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12118507959600).

7032116625408 is an abundant number, since it is smaller than the sum of its proper divisors (17204899293792).

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

7032116625408 is an equidigital number, since it uses as much as digits as its factorization.

7032116625408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324470 (or 324431 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 7032116625408 in words is "seven trillion, thirty-two billion, one hundred sixteen million, six hundred twenty-five thousand, four hundred eight".