66962042280 has 768 divisors, whose sum is σ = 271724544000. Its totient is φ = 14508149760.

The previous prime is 66962042239. The next prime is 66962042321. The reversal of 66962042280 is 8224026966.

66962042280 is a `hidden beast` number, since 66 + 96 + 2 + 0 + 422 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (66962042239) and next prime (66962042321).

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

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 191 ways as a sum of consecutive naturals, for example, 111789421 + ... + 111790019.

It is an arithmetic number, because the mean of its divisors is an integer number (353808000).

Almost surely, 2^66962042280 is an apocalyptic number.

66962042280 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 66962042280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135862272000).

66962042280 is an abundant number, since it is smaller than the sum of its proper divisors (204762501720).

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

66962042280 is a wasteful number, since it uses less digits than its factorization.

66962042280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 66962042280 in words is "sixty-six billion, nine hundred sixty-two million, forty-two thousand, two hundred eighty".