7887403656 has 288 divisors, whose sum is σ = 24741905760. Its totient is φ = 2249856000.

The previous prime is 7887403651. The next prime is 7887403679. The reversal of 7887403656 is 6563047887.

It is a super-2 number, since 2×7887403656² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7887403651) 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 71 ways as a sum of consecutive naturals, for example, 32727696 + ... + 32727936.

It is an arithmetic number, because the mean of its divisors is an integer number (85909395).

Almost surely, 2^7887403656 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 7887403656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12370952880).

7887403656 is an abundant number, since it is smaller than the sum of its proper divisors (16854502104).

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

7887403656 is a wasteful number, since it uses less digits than its factorization.

7887403656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The square root of 7887403656 is about 88811.0559333690. The cubic root of 7887403656 is about 1990.5726032509.

The spelling of 7887403656 in words is "seven billion, eight hundred eighty-seven million, four hundred three thousand, six hundred fifty-six".