64041768 has 96 divisors (see below), whose sum is σ = 199368000. Its totient is φ = 18192384.

The previous prime is 64041743. The next prime is 64041779. The reversal of 64041768 is 86714046.

64041768 is a `hidden beast` number, since 640 + 4 + 1 + 7 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142408 + ... + 142856.

It is an arithmetic number, because the mean of its divisors is an integer number (2076750).

Almost surely, 2^64041768 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 64041768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99684000).

64041768 is an abundant number, since it is smaller than the sum of its proper divisors (135326232).

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

64041768 is a wasteful number, since it uses less digits than its factorization.

64041768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 64041768 is about 8002.6100742195. The cubic root of 64041768 is about 400.0869977438.

The spelling of 64041768 in words is "sixty-four million, forty-one thousand, seven hundred sixty-eight".