6964038432 has 216 divisors, whose sum is σ = 21582288000. Its totient is φ = 2129048064.

The previous prime is 6964038427. The next prime is 6964038527. The reversal of 6964038432 is 2348304696.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9685369 + ... + 9686087.

It is an arithmetic number, because the mean of its divisors is an integer number (99918000).

Almost surely, 2^6964038432 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 6964038432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10791144000).

6964038432 is an abundant number, since it is smaller than the sum of its proper divisors (14618249568).

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

6964038432 is a wasteful number, since it uses less digits than its factorization.

6964038432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 6964038432 is about 83450.8144477931. The cubic root of 6964038432 is about 1909.6497472752.

The spelling of 6964038432 in words is "six billion, nine hundred sixty-four million, thirty-eight thousand, four hundred thirty-two".