66294380880 has 640 divisors, whose sum is σ = 282115276800. Its totient is φ = 13934094336.

The previous prime is 66294380839. The next prime is 66294380891. The reversal of 66294380880 is 8808349266.

66294380880 is a `hidden beast` number, since 6 + 629 + 4 + 3 + 8 + 0 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 72137061 + ... + 72137979.

It is an arithmetic number, because the mean of its divisors is an integer number (440805120).

Almost surely, 2^66294380880 is an apocalyptic number.

66294380880 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 66294380880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141057638400).

66294380880 is an abundant number, since it is smaller than the sum of its proper divisors (215820895920).

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

66294380880 is a wasteful number, since it uses less digits than its factorization.

66294380880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 66294380880 in words is "sixty-six billion, two hundred ninety-four million, three hundred eighty thousand, eight hundred eighty".