2864763792 has 120 divisors (see below), whose sum is σ = 8764998528. Its totient is φ = 866246400.

The previous prime is 2864763763. The next prime is 2864763851. The reversal of 2864763792 is 2973674682.

2864763792 is a `hidden beast` number, since 2 + 86 + 476 + 3 + 7 + 92 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 855273 + ... + 858615.

Almost surely, 2^2864763792 is an apocalyptic number.

2864763792 is a gapful number since it is divisible by the number (22) 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 2864763792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4382499264).

2864763792 is an abundant number, since it is smaller than the sum of its proper divisors (5900234736).

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

2864763792 is a wasteful number, since it uses less digits than its factorization.

2864763792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3909 (or 3900 counting only the distinct ones).

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

The square root of 2864763792 is about 53523.4882271326. The cubic root of 2864763792 is about 1420.2439229191.

The spelling of 2864763792 in words is "two billion, eight hundred sixty-four million, seven hundred sixty-three thousand, seven hundred ninety-two".