66264337680 has 640 divisors, whose sum is σ = 236556288000. Its totient is φ = 15255060480.

The previous prime is 66264337663. The next prime is 66264337691. The reversal of 66264337680 is 8673346266.

66264337680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 289363806 + ... + 289364034.

It is an arithmetic number, because the mean of its divisors is an integer number (369619200).

Almost surely, 2^66264337680 is an apocalyptic number.

66264337680 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 66264337680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118278144000).

66264337680 is an abundant number, since it is smaller than the sum of its proper divisors (170291950320).

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

66264337680 is a wasteful number, since it uses less digits than its factorization.

66264337680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 51.

The spelling of 66264337680 in words is "sixty-six billion, two hundred sixty-four million, three hundred thirty-seven thousand, six hundred eighty".