63972480 has 256 divisors, whose sum is σ = 240589440. Its totient is φ = 14254080.

The previous prime is 63972443. The next prime is 63972481. The reversal of 63972480 is 8427936.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63972481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274444 + ... + 274676.

Almost surely, 2^63972480 is an apocalyptic number.

63972480 is a gapful number since it is divisible by the number (60) 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 63972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120294720).

63972480 is an abundant number, since it is smaller than the sum of its proper divisors (176616960).

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

63972480 is a wasteful number, since it uses less digits than its factorization.

63972480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 63972480 is about 7998.2798150602. The cubic root of 63972480 is about 399.9426584469.

The spelling of 63972480 in words is "sixty-three million, nine hundred seventy-two thousand, four hundred eighty".