7656396000 has 288 divisors, whose sum is σ = 27575087904. Its totient is φ = 1855744000.

The previous prime is 7656395993. The next prime is 7656396067. The reversal of 7656396000 is 6936567.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1449364 + ... + 1454636.

It is an arithmetic number, because the mean of its divisors is an integer number (95746833).

Almost surely, 2^7656396000 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 7656396000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13787543952).

7656396000 is an abundant number, since it is smaller than the sum of its proper divisors (19918691904).

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

7656396000 is a wasteful number, since it uses less digits than its factorization.

7656396000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5323 (or 5294 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The square root of 7656396000 is about 87500.8342817370. The cubic root of 7656396000 is about 1970.9463188636.

The spelling of 7656396000 in words is "seven billion, six hundred fifty-six million, three hundred ninety-six thousand".