7964932320 has 288 divisors, whose sum is σ = 27817800192. Its totient is φ = 2074807296.

The previous prime is 7964932309. The next prime is 7964932333. The reversal of 7964932320 is 232394697.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12310237 + ... + 12310883.

It is an arithmetic number, because the mean of its divisors is an integer number (96589584).

Almost surely, 2^7964932320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7964932320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13908900096).

7964932320 is an abundant number, since it is smaller than the sum of its proper divisors (19852867872).

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

7964932320 is a wasteful number, since it uses less digits than its factorization.

7964932320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 7964932320 is about 89246.4695100036. The cubic root of 7964932320 is about 1997.0734129663.

The spelling of 7964932320 in words is "seven billion, nine hundred sixty-four million, nine hundred thirty-two thousand, three hundred twenty".