66132158400 has 1512 divisors, whose sum is σ = 310505709696. Its totient is φ = 13449369600.

The previous prime is 66132158387. The next prime is 66132158431. The reversal of 66132158400 is 485123166.

It is a happy number.

66132158400 is a `hidden beast` number, since 66 + 13 + 2 + 1 + 584 + 0 + 0 = 666.

66132158400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1512).

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 215 ways as a sum of consecutive naturals, for example, 1407067177 + ... + 1407067223.

Almost surely, 2^66132158400 is an apocalyptic number.

66132158400 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 66132158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155252854848).

66132158400 is an abundant number, since it is smaller than the sum of its proper divisors (244373551296).

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

66132158400 is a wasteful number, since it uses less digits than its factorization.

66132158400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 66132158400 in words is "sixty-six billion, one hundred thirty-two million, one hundred fifty-eight thousand, four hundred".