66395731083264 has 1320 divisors, whose sum is σ = 230695756276608. Its totient is φ = 18884796088320.

The previous prime is 66395731083259. The next prime is 66395731083313. The reversal of 66395731083264 is 46238013759366.

66395731083264 is a `hidden beast` number, since 6 + 6 + 3 + 9 + 57 + 310 + 8 + 3 + 264 = 666.

It is a super-2 number, since 2×66395731083264² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 180914798409 + ... + 180914798775.

It is a 1-persistent number, because it is pandigital, but 2⋅66395731083264 = 132791462166528 is not.

Almost surely, 2^{66395731083264} is an apocalyptic number.

66395731083264 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 66395731083264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115347878138304).

66395731083264 is an abundant number, since it is smaller than the sum of its proper divisors (164300025193344).

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

66395731083264 is an frugal number, since it uses more digits than its factorization.

66395731083264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 66395731083264 in words is "sixty-six trillion, three hundred ninety-five billion, seven hundred thirty-one million, eighty-three thousand, two hundred sixty-four".