63974400 has 396 divisors, whose sum is σ = 260427528. Its totient is φ = 13762560.

The previous prime is 63974399. The next prime is 63974401. The reversal of 63974400 is 447936.

It is an interprime number because it is at equal distance from previous prime (63974399) and next prime (63974401).

It is not an unprimeable number, because it can be changed into a prime (63974401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3763192 + ... + 3763208.

Almost surely, 2^63974400 is an apocalyptic number.

63974400 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 63974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130213764).

63974400 is an abundant number, since it is smaller than the sum of its proper divisors (196453128).

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

63974400 is a wasteful number, since it uses less digits than its factorization.

63974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 63974400 is about 7998.3998399680. The cubic root of 63974400 is about 399.9466595540.

The spelling of 63974400 in words is "sixty-three million, nine hundred seventy-four thousand, four hundred".