66197102400 has 2016 divisors, whose sum is σ = 307066346496. Its totient is φ = 13271040000.

The previous prime is 66197102381. The next prime is 66197102423. The reversal of 66197102400 is 420179166.

66197102400 is a `hidden beast` number, since 6 + 61 + 97 + 102 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1085198370 + ... + 1085198430.

It is an arithmetic number, because the mean of its divisors is an integer number (152314656).

Almost surely, 2^66197102400 is an apocalyptic number.

66197102400 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 66197102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153533173248).

66197102400 is an abundant number, since it is smaller than the sum of its proper divisors (240869244096).

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

66197102400 is a wasteful number, since it uses less digits than its factorization.

66197102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 66197102400 in words is "sixty-six billion, one hundred ninety-seven million, one hundred two thousand, four hundred".