7946988000 has 384 divisors, whose sum is σ = 30116136960. Its totient is φ = 1794355200.

The previous prime is 7946987989. The next prime is 7946988017. The reversal of 7946988000 is 8896497.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7475469 + ... + 7476531.

It is an arithmetic number, because the mean of its divisors is an integer number (78427440).

Almost surely, 2^7946988000 is an apocalyptic number.

7946988000 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 7946988000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15058068480).

7946988000 is an abundant number, since it is smaller than the sum of its proper divisors (22169148960).

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

7946988000 is a wasteful number, since it uses less digits than its factorization.

7946988000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 7946988000 is about 89145.8804432375. The cubic root of 7946988000 is about 1995.5725393619.

The spelling of 7946988000 in words is "seven billion, nine hundred forty-six million, nine hundred eighty-eight thousand".