66372768 has 288 divisors, whose sum is σ = 244363392. Its totient is φ = 16588800.

The previous prime is 66372749. The next prime is 66372799. The reversal of 66372768 is 86727366.

66372768 is a `hidden beast` number, since 6 + 637 + 2 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 909180 + ... + 909252.

It is an arithmetic number, because the mean of its divisors is an integer number (848484).

Almost surely, 2^66372768 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 66372768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122181696).

66372768 is an abundant number, since it is smaller than the sum of its proper divisors (177990624).

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

66372768 is a wasteful number, since it uses less digits than its factorization.

66372768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 137 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 66372768 is about 8146.9483857454. The cubic root of 66372768 is about 404.8834049370.

The spelling of 66372768 in words is "sixty-six million, three hundred seventy-two thousand, seven hundred sixty-eight".