66712149504 has 800 divisors, whose sum is σ = 267513878016. Its totient is φ = 15984967680.

The previous prime is 66712149499. The next prime is 66712149509. The reversal of 66712149504 is 40594121766.

66712149504 is a `hidden beast` number, since 66 + 71 + 2 + 14 + 9 + 504 = 666.

It is an interprime number because it is at equal distance from previous prime (66712149499) and next prime (66712149509).

It is a self number, because there is not a number n which added to its sum of digits gives 66712149504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66712149509) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41512669 + ... + 41514275.

Almost surely, 2^66712149504 is an apocalyptic number.

66712149504 is a gapful number since it is divisible by the number (64) 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 66712149504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133756939008).

66712149504 is an abundant number, since it is smaller than the sum of its proper divisors (200801728512).

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

66712149504 is a wasteful number, since it uses less digits than its factorization.

66712149504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 66712149504 in words is "sixty-six billion, seven hundred twelve million, one hundred forty-nine thousand, five hundred four".