66567614400 has 1176 divisors, whose sum is σ = 290823481344. Its totient is φ = 14668646400.

The previous prime is 66567614383. The next prime is 66567614401. The reversal of 66567614400 is 441676566.

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 (66567614401) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 253108669 + ... + 253108931.

Almost surely, 2^66567614400 is an apocalyptic number.

66567614400 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 66567614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145411740672).

66567614400 is an abundant number, since it is smaller than the sum of its proper divisors (224255866944).

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

66567614400 is a wasteful number, since it uses less digits than its factorization.

66567614400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 66567614400 in words is "sixty-six billion, five hundred sixty-seven million, six hundred fourteen thousand, four hundred".