66473400 has 384 divisors, whose sum is σ = 267840000. Its totient is φ = 13547520.

The previous prime is 66473389. The next prime is 66473413. The reversal of 66473400 is 437466.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3498591 + ... + 3498609.

It is an arithmetic number, because the mean of its divisors is an integer number (697500).

Almost surely, 2^66473400 is an apocalyptic number.

66473400 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 66473400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133920000).

66473400 is an abundant number, since it is smaller than the sum of its proper divisors (201366600).

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

66473400 is a wasteful number, since it uses less digits than its factorization.

66473400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 53 counting only the distinct ones).

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

The square root of 66473400 is about 8153.1221013793. The cubic root of 66473400 is about 405.0879248213.

The spelling of 66473400 in words is "sixty-six million, four hundred seventy-three thousand, four hundred".