7946647632 has 480 divisors, whose sum is σ = 29167656960. Its totient is φ = 1959552000.

The previous prime is 7946647589. The next prime is 7946647673. The reversal of 7946647632 is 2367466497.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20967219 + ... + 20967597.

It is an arithmetic number, because the mean of its divisors is an integer number (60765952).

Almost surely, 2^7946647632 is an apocalyptic number.

7946647632 is a gapful number since it is divisible by the number (72) 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 7946647632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14583828480).

7946647632 is an abundant number, since it is smaller than the sum of its proper divisors (21221009328).

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

7946647632 is a wasteful number, since it uses less digits than its factorization.

7946647632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 494 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The square root of 7946647632 is about 89143.9713721573. The cubic root of 7946647632 is about 1995.5440489564.

The spelling of 7946647632 in words is "seven billion, nine hundred forty-six million, six hundred forty-seven thousand, six hundred thirty-two".