66021707949120 has 2688 divisors, whose sum is σ = 313681988067840. Its totient is φ = 12881756160000.

The previous prime is 66021707949011. The next prime is 66021707949157. The reversal of 66021707949120 is 2194970712066.

66021707949120 is a `hidden beast` number, since 6 + 60 + 2 + 1 + 7 + 0 + 79 + 491 + 20 = 666.

It is a super-3 number, since 3×66021707949120³ (a number of 42 digits) contains 333 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 383 ways as a sum of consecutive naturals, for example, 50746892470 + ... + 50746893770.

It is an arithmetic number, because the mean of its divisors is an integer number (116697168180).

Almost surely, 2^{66021707949120} is an apocalyptic number.

66021707949120 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 66021707949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156840994033920).

66021707949120 is an abundant number, since it is smaller than the sum of its proper divisors (247660280118720).

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

66021707949120 is a wasteful number, since it uses less digits than its factorization.

66021707949120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2010 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 66021707949120 in words is "sixty-six trillion, twenty-one billion, seven hundred seven million, nine hundred forty-nine thousand, one hundred twenty".