63791604900 has 81 divisors (see below), whose sum is σ = 199974994401. Its totient is φ = 17009074080.

The previous prime is 63791604893. The next prime is 63791604907. The reversal of 63791604900 is 940619736.

The square root of 63791604900 is 252570.

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

63791604900 is a `hidden beast` number, since 6 + 37 + 9 + 1 + 604 + 9 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (63791604893) and next prime (63791604907).

It can be written as a sum of positive squares in only one way, i.e., 22964977764 + 40826627136 = 151542^2 + 202056^2 .

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

It is not an unprimeable number, because it can be changed into a prime (63791604907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7572891 + ... + 7581309.

Almost surely, 2^63791604900 is an apocalyptic number.

63791604900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

63791604900 is the 252570-th square number.

It is an amenable number.

63791604900 is an abundant number, since it is smaller than the sum of its proper divisors (136183389501).

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

63791604900 is an equidigital number, since it uses as much as digits as its factorization.

63791604900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16858 (or 8429 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 63791604900 in words is "sixty-three billion, seven hundred ninety-one million, six hundred four thousand, nine hundred".