66479400 has 192 divisors, whose sum is σ = 246859200. Its totient is φ = 16346880.

The previous prime is 66479381. The next prime is 66479449. The reversal of 66479400 is 497466.

66479400 is a `hidden beast` number, since 6 + 647 + 9 + 4 + 0 + 0 = 666.

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, 69727 + ... + 70673.

It is an arithmetic number, because the mean of its divisors is an integer number (1285725).

Almost surely, 2^66479400 is an apocalyptic number.

66479400 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 66479400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123429600).

66479400 is an abundant number, since it is smaller than the sum of its proper divisors (180379800).

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

66479400 is a wasteful number, since it uses less digits than its factorization.

66479400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 970 counting only the distinct ones).

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

The square root of 66479400 is about 8153.4900502791. The cubic root of 66479400 is about 405.1001124253.

The spelling of 66479400 in words is "sixty-six million, four hundred seventy-nine thousand, four hundred".