63468720 has 240 divisors, whose sum is σ = 249537600. Its totient is φ = 14450688.

The previous prime is 63468709. The next prime is 63468739. The reversal of 63468720 is 2786436.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 246832 + ... + 247088.

It is an arithmetic number, because the mean of its divisors is an integer number (1039740).

Almost surely, 2^63468720 is an apocalyptic number.

63468720 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 63468720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124768800).

63468720 is an abundant number, since it is smaller than the sum of its proper divisors (186068880).

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

63468720 is a wasteful number, since it uses less digits than its factorization.

63468720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 63468720 is about 7966.7258017331. The cubic root of 63468720 is about 398.8900897634.

The spelling of 63468720 in words is "sixty-three million, four hundred sixty-eight thousand, seven hundred twenty".