7964067384 has 384 divisors, whose sum is σ = 28380119040. Its totient is φ = 1957810176.

The previous prime is 7964067347. The next prime is 7964067389. The reversal of 7964067384 is 4837604697.

It is a happy number.

7964067384 is a `hidden beast` number, since 7 + 96 + 406 + 73 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 7964067384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7964067389) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14145487 + ... + 14146049.

It is an arithmetic number, because the mean of its divisors is an integer number (73906560).

Almost surely, 2^7964067384 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 7964067384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14190059520).

7964067384 is an abundant number, since it is smaller than the sum of its proper divisors (20416051656).

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

7964067384 is a wasteful number, since it uses less digits than its factorization.

7964067384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The square root of 7964067384 is about 89241.6236069246. The cubic root of 7964067384 is about 1997.0011209430.

The spelling of 7964067384 in words is "seven billion, nine hundred sixty-four million, sixty-seven thousand, three hundred eighty-four".