66905147232000 has 6048 divisors, whose sum is σ = 336840199061184. Its totient is φ = 13042778112000.

The previous prime is 66905147231981. The next prime is 66905147232047. The reversal of 66905147232000 is 23274150966.

66905147232000 is a `hidden beast` number, since 6 + 6 + 90 + 514 + 7 + 23 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a super-2 number, since 2×66905147232000² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 213754463844 + ... + 213754464156.

It is an arithmetic number, because the mean of its divisors is an integer number (55694477358).

Almost surely, 2^{66905147232000} is an apocalyptic number.

66905147232000 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 66905147232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168420099530592).

66905147232000 is an abundant number, since it is smaller than the sum of its proper divisors (269935051829184).

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

66905147232000 is a wasteful number, since it uses less digits than its factorization.

66905147232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 66905147232000 in words is "sixty-six trillion, nine hundred five billion, one hundred forty-seven million, two hundred thirty-two thousand".