66974400 has 126 divisors (see below), whose sum is σ = 238094012. Its totient is φ = 17856000.

The previous prime is 66974399. The next prime is 66974429. The reversal of 66974400 is 447966.

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 17 ways as a sum of consecutive naturals, for example, 12075 + ... + 16725.

Almost surely, 2^66974400 is an apocalyptic number.

66974400 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 66974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119047006).

66974400 is an abundant number, since it is smaller than the sum of its proper divisors (171119612).

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

66974400 is a wasteful number, since it uses less digits than its factorization.

66974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4679 (or 4661 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 66974400 is about 8183.7888535812. The cubic root of 66974400 is about 406.1030742849.

The spelling of 66974400 in words is "sixty-six million, nine hundred seventy-four thousand, four hundred".