66735864 has 192 divisors, whose sum is σ = 209139840. Its totient is φ = 19077120.

The previous prime is 66735853. The next prime is 66735881. The reversal of 66735864 is 46853766.

66735864 is a `hidden beast` number, since 6 + 67 + 3 + 586 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1419889 + ... + 1419935.

It is an arithmetic number, because the mean of its divisors is an integer number (1089270).

Almost surely, 2^66735864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66735864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104569920).

66735864 is an abundant number, since it is smaller than the sum of its proper divisors (142403976).

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

66735864 is a wasteful number, since it uses less digits than its factorization.

66735864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 143 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 66735864 is about 8169.2021642263. The cubic root of 66735864 is about 405.6203752471.

The spelling of 66735864 in words is "sixty-six million, seven hundred thirty-five thousand, eight hundred sixty-four".