66271759680 has 896 divisors, whose sum is σ = 259386458112. Its totient is φ = 14020411392.

The previous prime is 66271759667. The next prime is 66271759709. The reversal of 66271759680 is 8695717266.

66271759680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×66271759680² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 66271759680.

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, 619362187 + ... + 619362293.

Almost surely, 2^66271759680 is an apocalyptic number.

66271759680 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 66271759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129693229056).

66271759680 is an abundant number, since it is smaller than the sum of its proper divisors (193114698432).

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

66271759680 is a wasteful number, since it uses less digits than its factorization.

66271759680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The spelling of 66271759680 in words is "sixty-six billion, two hundred seventy-one million, seven hundred fifty-nine thousand, six hundred eighty".