7964847072 has 768 divisors, whose sum is σ = 31091558400. Its totient is φ = 1924300800.

The previous prime is 7964847067. The next prime is 7964847103. The reversal of 7964847072 is 2707484697.

7964847072 is a `hidden beast` number, since 7 + 96 + 484 + 7 + 0 + 72 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78859822 + ... + 78859922.

It is an arithmetic number, because the mean of its divisors is an integer number (40483800).

Almost surely, 2^7964847072 is an apocalyptic number.

7964847072 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 7964847072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15545779200).

7964847072 is an abundant number, since it is smaller than the sum of its proper divisors (23126711328).

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

7964847072 is a wasteful number, since it uses less digits than its factorization.

7964847072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The square root of 7964847072 is about 89245.9919100012. The cubic root of 7964847072 is about 1997.0662881047.

The spelling of 7964847072 in words is "seven billion, nine hundred sixty-four million, eight hundred forty-seven thousand, seventy-two".