66632417280 has 864 divisors, whose sum is σ = 274809749760. Its totient is φ = 14722007040.

The previous prime is 66632417273. The next prime is 66632417339. The reversal of 66632417280 is 8271423666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 843448281 + ... + 843448359.

It is an arithmetic number, because the mean of its divisors is an integer number (318066840).

Almost surely, 2^66632417280 is an apocalyptic number.

66632417280 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 66632417280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137404874880).

66632417280 is an abundant number, since it is smaller than the sum of its proper divisors (208177332480).

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

66632417280 is a wasteful number, since it uses less digits than its factorization.

66632417280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 66632417280 in words is "sixty-six billion, six hundred thirty-two million, four hundred seventeen thousand, two hundred eighty".