66494131200 has 924 divisors, whose sum is σ = 282982684080. Its totient is φ = 15168798720.

The previous prime is 66494131181. The next prime is 66494131219. The reversal of 66494131200 is 213149466.

66494131200 is a `hidden beast` number, since 6 + 649 + 4 + 1 + 3 + 1 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (66494131181) and next prime (66494131219).

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 83 ways as a sum of consecutive naturals, for example, 130636546 + ... + 130637054.

Almost surely, 2^66494131200 is an apocalyptic number.

66494131200 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 66494131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141491342040).

66494131200 is an abundant number, since it is smaller than the sum of its proper divisors (216488552880).

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

66494131200 is an equidigital number, since it uses as much as digits as its factorization.

66494131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 66494131200 in words is "sixty-six billion, four hundred ninety-four million, one hundred thirty-one thousand, two hundred".