2964763968 has 112 divisors (see below), whose sum is σ = 8026944576. Its totient is φ = 965468160.

The previous prime is 2964763951. The next prime is 2964763987. The reversal of 2964763968 is 8693674692.

It is a super-2 number, since 2×2964763968² = 17579650771902210048, which contains 22 as substring.

Its product of digits (23514624) is a multiple of the sum of its prime factors (1792).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1908280 + ... + 1909832.

It is an arithmetic number, because the mean of its divisors is an integer number (71669148).

Almost surely, 2^2964763968 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 2964763968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4013472288).

2964763968 is an abundant number, since it is smaller than the sum of its proper divisors (5062180608).

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

2964763968 is a wasteful number, since it uses less digits than its factorization.

2964763968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792 (or 1782 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 60.

The square root of 2964763968 is about 54449.6461696493. The cubic root of 2964763968 is about 1436.5807454915.

The spelling of 2964763968 in words is "two billion, nine hundred sixty-four million, seven hundred sixty-three thousand, nine hundred sixty-eight".