7967552384 has 128 divisors (see below), whose sum is σ = 18404651520. Its totient is φ = 3395543040.

The previous prime is 7967552371. The next prime is 7967552491. The reversal of 7967552384 is 4832557697.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8784059 + ... + 8784965.

It is an arithmetic number, because the mean of its divisors is an integer number (143786340).

Almost surely, 2^7967552384 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 7967552384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9202325760).

7967552384 is an abundant number, since it is smaller than the sum of its proper divisors (10437099136).

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

7967552384 is a wasteful number, since it uses less digits than its factorization.

7967552384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1304 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 56.

The square root of 7967552384 is about 89261.1471133998. The cubic root of 7967552384 is about 1997.2923680187.

The spelling of 7967552384 in words is "seven billion, nine hundred sixty-seven million, five hundred fifty-two thousand, three hundred eighty-four".