6363252900 has 81 divisors (see below), whose sum is σ = 19952766561. Its totient is φ = 1696229280.

The previous prime is 6363252853. The next prime is 6363252941. The reversal of 6363252900 is 92523636.

The square root of 6363252900 is 79770.

It is a perfect power (a square), and thus also a powerful number.

6363252900 is a `hidden beast` number, since 6 + 363 + 2 + 5 + 290 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2290771044 + 4072481856 = 47862^2 + 63816^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2391771 + ... + 2394429.

Almost surely, 2^6363252900 is an apocalyptic number.

6363252900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6363252900 is the 79770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6363252900

6363252900 is an abundant number, since it is smaller than the sum of its proper divisors (13589513661).

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

6363252900 is a wasteful number, since it uses less digits than its factorization.

6363252900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5338 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The cubic root of 6363252900 is about 1853.0752746843.

Multiplying 6363252900 by its sum of digits (36), we get a square (229077104400 = 478620²).

6363252900 divided by its sum of digits (36) gives a square (176757025 = 13295²).

The spelling of 6363252900 in words is "six billion, three hundred sixty-three million, two hundred fifty-two thousand, nine hundred".