63674400 has 144 divisors (see below), whose sum is σ = 212423904. Its totient is φ = 16558080.

The previous prime is 63674383. The next prime is 63674407. The reversal of 63674400 is 447636.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (63674407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 102892 + ... + 103508.

It is an arithmetic number, because the mean of its divisors is an integer number (1475166).

Almost surely, 2^63674400 is an apocalyptic number.

63674400 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 63674400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106211952).

63674400 is an abundant number, since it is smaller than the sum of its proper divisors (148749504).

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

63674400 is a wasteful number, since it uses less digits than its factorization.

63674400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 63674400 is about 7979.6240512946. The cubic root of 63674400 is about 399.3205130640.

The spelling of 63674400 in words is "sixty-three million, six hundred seventy-four thousand, four hundred".