7032256704 has 504 divisors, whose sum is σ = 23830903824. Its totient is φ = 2052864000.

The previous prime is 7032256681. The next prime is 7032256729. The reversal of 7032256704 is 4076522307.

It is a happy number.

7032256704 is a `hidden beast` number, since 70 + 3 + 22 + 567 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69626254 + ... + 69626354.

Almost surely, 2^7032256704 is an apocalyptic number.

7032256704 is a gapful number since it is divisible by the number (74) 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 7032256704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11915451912).

7032256704 is an abundant number, since it is smaller than the sum of its proper divisors (16798647120).

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

7032256704 is a wasteful number, since it uses less digits than its factorization.

7032256704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 7032256704 is about 83858.5517642655. The cubic root of 7032256704 is about 1915.8650073491.

The spelling of 7032256704 in words is "seven billion, thirty-two million, two hundred fifty-six thousand, seven hundred four".