66928949892000 has 1920 divisors, whose sum is σ = 289270646945280. Its totient is φ = 14837852160000.

The previous prime is 66928949891983. The next prime is 66928949892001. The reversal of 66928949892000 is 29894982966.

66928949892000 is a `hidden beast` number, since 6 + 69 + 289 + 4 + 9 + 89 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 66928949892000.

It is not an unprimeable number, because it can be changed into a prime (66928949892001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 16644849990 + ... + 16644854010.

It is an arithmetic number, because the mean of its divisors is an integer number (150661795284).

Almost surely, 2^{66928949892000} is an apocalyptic number.

66928949892000 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 66928949892000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144635323472640).

66928949892000 is an abundant number, since it is smaller than the sum of its proper divisors (222341697053280).

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

66928949892000 is a wasteful number, since it uses less digits than its factorization.

66928949892000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4285 (or 4258 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 72.

The spelling of 66928949892000 in words is "sixty-six trillion, nine hundred twenty-eight billion, nine hundred forty-nine million, eight hundred ninety-two thousand".