66654086400 has 324 divisors, whose sum is σ = 259969819200. Its totient is φ = 16158412800.

The previous prime is 66654086399. The next prime is 66654086407. The reversal of 66654086400 is 468045666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66654086407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 581001 + ... + 686199.

Almost surely, 2^66654086400 is an apocalyptic number.

66654086400 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 66654086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129984909600).

66654086400 is an abundant number, since it is smaller than the sum of its proper divisors (193315732800).

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

66654086400 is a wasteful number, since it uses less digits than its factorization.

66654086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105242 (or 105220 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 66654086400 in words is "sixty-six billion, six hundred fifty-four million, eighty-six thousand, four hundred".