7974832320 has 1344 divisors, whose sum is σ = 37278259200. Its totient is φ = 1609445376.

The previous prime is 7974832279. The next prime is 7974832321. The reversal of 7974832320 is 232384797.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is not an unprimeable number, because it can be changed into a prime (7974832321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 346731829 + ... + 346731851.

It is an arithmetic number, because the mean of its divisors is an integer number (27736800).

Almost surely, 2^7974832320 is an apocalyptic number.

7974832320 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 7974832320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18639129600).

7974832320 is an abundant number, since it is smaller than the sum of its proper divisors (29303426880).

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

7974832320 is a wasteful number, since it uses less digits than its factorization.

7974832320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 7974832320 is about 89301.9166647615. The cubic root of 7974832320 is about 1997.9004901337.

The spelling of 7974832320 in words is "seven billion, nine hundred seventy-four million, eight hundred thirty-two thousand, three hundred twenty".