66274164956160 has 1408 divisors, whose sum is σ = 275175281971200. Its totient is φ = 14999481483264.

The previous prime is 66274164956113. The next prime is 66274164956177. The reversal of 66274164956160 is 6165946147266.

66274164956160 is a `hidden beast` number, since 6 + 6 + 2 + 7 + 4 + 1 + 6 + 4 + 9 + 5 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8073350136 + ... + 8073358344.

Almost surely, 2^{66274164956160} is an apocalyptic number.

66274164956160 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 66274164956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137587640985600).

66274164956160 is an abundant number, since it is smaller than the sum of its proper divisors (208901117015040).

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

66274164956160 is an equidigital number, since it uses as much as digits as its factorization.

66274164956160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8365 (or 8329 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 66274164956160 in words is "sixty-six trillion, two hundred seventy-four billion, one hundred sixty-four million, nine hundred fifty-six thousand, one hundred sixty".