66790351872000 has 1344 divisors, whose sum is σ = 250471891313280. Its totient is φ = 17560682496000.

The previous prime is 66790351871941. The next prime is 66790351872037. The reversal of 66790351872000 is 27815309766.

66790351872000 is a `hidden beast` number, since 6 + 6 + 7 + 9 + 0 + 351 + 87 + 200 + 0 = 666.

It is a super-2 number, since 2×66790351872000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 316541951895 + ... + 316541952105.

It is an arithmetic number, because the mean of its divisors is an integer number (186363014370).

Almost surely, 2^{66790351872000} is an apocalyptic number.

66790351872000 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 66790351872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125235945656640).

66790351872000 is an abundant number, since it is smaller than the sum of its proper divisors (183681539441280).

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

66790351872000 is an equidigital number, since it uses as much as digits as its factorization.

66790351872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 66790351872000 in words is "sixty-six trillion, seven hundred ninety billion, three hundred fifty-one million, eight hundred seventy-two thousand".