7971304320 has 576 divisors, whose sum is σ = 32615144640. Its totient is φ = 1788272640.

The previous prime is 7971304291. The next prime is 7971304321. The reversal of 7971304320 is 234031797.

7971304320 is a `hidden beast` number, since 7 + 97 + 130 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7971304321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17216409 + ... + 17216871.

It is an arithmetic number, because the mean of its divisors is an integer number (56623515).

Almost surely, 2^7971304320 is an apocalyptic number.

7971304320 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 7971304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16307572320).

7971304320 is an abundant number, since it is smaller than the sum of its proper divisors (24643840320).

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

7971304320 is a wasteful number, since it uses less digits than its factorization.

7971304320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 7971304320 is about 89282.1612641630. The cubic root of 7971304320 is about 1997.6058284483.

The spelling of 7971304320 in words is "seven billion, nine hundred seventy-one million, three hundred four thousand, three hundred twenty".