63649234944 has 315 divisors, whose sum is σ = 193504830393. Its totient is φ = 20925775872.

The previous prime is 63649234879. The next prime is 63649234951. The reversal of 63649234944 is 44943294636.

It is a happy number.

The square root of 63649234944 is 252288.

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

63649234944 is a `hidden beast` number, since 6 + 3 + 64 + 92 + 3 + 494 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36130406400 + 27518828544 = 190080^2 + 165888^2 .

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (13436928) is a multiple of the sum of its prime factors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 871907292 + ... + 871907364.

Almost surely, 2^63649234944 is an apocalyptic number.

63649234944 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

63649234944 is the 252288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63649234944

63649234944 is an abundant number, since it is smaller than the sum of its proper divisors (129855595449).

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

63649234944 is an frugal number, since it uses more digits than its factorization.

63649234944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 78 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 54.

The spelling of 63649234944 in words is "sixty-three billion, six hundred forty-nine million, two hundred thirty-four thousand, nine hundred forty-four".