5763686400 has 504 divisors, whose sum is σ = 21391610760. Its totient is φ = 1482424320.

The previous prime is 5763686393. The next prime is 5763686407. The reversal of 5763686400 is 46863675.

5763686400 is a `hidden beast` number, since 5 + 7 + 636 + 8 + 6 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5763686393) and next prime (5763686407).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5763686407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 97689571 + ... + 97689629.

Almost surely, 2^5763686400 is an apocalyptic number.

5763686400 is a gapful number since it is divisible by the number (50) 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 5763686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10695805380).

5763686400 is an abundant number, since it is smaller than the sum of its proper divisors (15627924360).

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

5763686400 is a wasteful number, since it uses less digits than its factorization.

5763686400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 5763686400 is about 75918.9462519074. The cubic root of 5763686400 is about 1792.9442302754.

It can be divided in two parts, 576 and 3686400, that multiplied together give a square (2123366400 = 46080²).

The spelling of 5763686400 in words is "five billion, seven hundred sixty-three million, six hundred eighty-six thousand, four hundred".