63972468 has 144 divisors (see below), whose sum is σ = 201277440. Its totient is φ = 16718400.

The previous prime is 63972443. The next prime is 63972481. The reversal of 63972468 is 86427936.

63972468 is a `hidden beast` number, since 639 + 7 + 2 + 4 + 6 + 8 = 666.

It is a super-2 number, since 2×63972468² = 8184953324022048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148213 + ... + 148643.

It is an arithmetic number, because the mean of its divisors is an integer number (1397760).

Almost surely, 2^63972468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63972468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100638720).

63972468 is an abundant number, since it is smaller than the sum of its proper divisors (137304972).

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

63972468 is a wasteful number, since it uses less digits than its factorization.

63972468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 493 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 63972468 is about 7998.2790648989. The cubic root of 63972468 is about 399.9426334398.

The spelling of 63972468 in words is "sixty-three million, nine hundred seventy-two thousand, four hundred sixty-eight".