7963956000 has 1728 divisors, whose sum is σ = 40402043136. Its totient is φ = 1437696000.

The previous prime is 7963955999. The next prime is 7963956023. The reversal of 7963956000 is 6593697.

7963956000 is a `hidden beast` number, since 7 + 9 + 6 + 39 + 5 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 468467992 + ... + 468468008.

It is an arithmetic number, because the mean of its divisors is an integer number (23380812).

Almost surely, 2^7963956000 is an apocalyptic number.

7963956000 is a gapful number since it is divisible by the number (70) 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 7963956000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20201021568).

7963956000 is an abundant number, since it is smaller than the sum of its proper divisors (32438087136).

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

7963956000 is a wasteful number, since it uses less digits than its factorization.

7963956000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 7963956000 is about 89240.9995461727. Note that the first 3 decimals coincide. The cubic root of 7963956000 is about 1996.9918110013.

The spelling of 7963956000 in words is "seven billion, nine hundred sixty-three million, nine hundred fifty-six thousand".