66345374700 has 360 divisors, whose sum is σ = 248423568624. Its totient is φ = 15137280000.

The previous prime is 66345374681. The next prime is 66345374729. The reversal of 66345374700 is 747354366.

66345374700 is a `hidden beast` number, since 6 + 63 + 453 + 74 + 70 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1492800 + ... + 1536600.

Almost surely, 2^66345374700 is an apocalyptic number.

66345374700 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 66345374700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124211784312).

66345374700 is an abundant number, since it is smaller than the sum of its proper divisors (182078193924).

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

66345374700 is a wasteful number, since it uses less digits than its factorization.

66345374700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43855 (or 43839 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The spelling of 66345374700 in words is "sixty-six billion, three hundred forty-five million, three hundred seventy-four thousand, seven hundred".