66801274760 has 128 divisors (see below), whose sum is σ = 165914179200. Its totient is φ = 24003840000.

The previous prime is 66801274759. The next prime is 66801274781. The reversal of 66801274760 is 6747210866.

It is a happy number.

It is a super-2 number, since 2×66801274760² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29284820 + ... + 29287100.

It is an arithmetic number, because the mean of its divisors is an integer number (1296204525).

Almost surely, 2^66801274760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66801274760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82957089600).

66801274760 is an abundant number, since it is smaller than the sum of its proper divisors (99112904440).

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

66801274760 is a wasteful number, since it uses less digits than its factorization.

66801274760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3063 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 47.

The spelling of 66801274760 in words is "sixty-six billion, eight hundred one million, two hundred seventy-four thousand, seven hundred sixty".