66200400 has 360 divisors, whose sum is σ = 273446784. Its totient is φ = 14515200.

The previous prime is 66200399. The next prime is 66200411. The reversal of 66200400 is 400266.

66200400 is a `hidden beast` number, since 6 + 620 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 932365 + ... + 932435.

Almost surely, 2^66200400 is an apocalyptic number.

66200400 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 66200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136723392).

66200400 is an abundant number, since it is smaller than the sum of its proper divisors (207246384).

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

66200400 is a wasteful number, since it uses less digits than its factorization.

66200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 66200400 is about 8136.3628237684. The cubic root of 66200400 is about 404.5326112536.

Adding to 66200400 its reverse (400266), we get a palindrome (66600666).

The spelling of 66200400 in words is "sixty-six million, two hundred thousand, four hundred".