7947494800 has 480 divisors, whose sum is σ = 24404787200. Its totient is φ = 2426112000.

The previous prime is 7947494783. The next prime is 7947494801. The reversal of 7947494800 is 84947497.

It is not an unprimeable number, because it can be changed into a prime (7947494801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100601161 + ... + 100601239.

Almost surely, 2^7947494800 is an apocalyptic number.

7947494800 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 7947494800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12202393600).

7947494800 is an abundant number, since it is smaller than the sum of its proper divisors (16457292400).

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

7947494800 is a wasteful number, since it uses less digits than its factorization.

7947494800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 52.

The square root of 7947494800 is about 89148.7229297201. The cubic root of 7947494800 is about 1995.6149594027.

The spelling of 7947494800 in words is "seven billion, nine hundred forty-seven million, four hundred ninety-four thousand, eight hundred".