5758863264 has 384 divisors, whose sum is σ = 21163161600. Its totient is φ = 1479997440.

The previous prime is 5758863263. The next prime is 5758863287. The reversal of 5758863264 is 4623688575.

5758863264 is a `hidden beast` number, since 57 + 588 + 6 + 3 + 2 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5758863264.

It is not an unprimeable number, because it can be changed into a prime (5758863263) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7118092 + ... + 7118900.

It is an arithmetic number, because the mean of its divisors is an integer number (55112400).

Almost surely, 2^5758863264 is an apocalyptic number.

5758863264 is a gapful number since it is divisible by the number (54) 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 5758863264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10581580800).

5758863264 is an abundant number, since it is smaller than the sum of its proper divisors (15404298336).

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

5758863264 is a wasteful number, since it uses less digits than its factorization.

5758863264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 939 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The square root of 5758863264 is about 75887.1745685659. The cubic root of 5758863264 is about 1792.4439701679.

The spelling of 5758863264 in words is "five billion, seven hundred fifty-eight million, eight hundred sixty-three thousand, two hundred sixty-four".