64090692288 has 672 divisors, whose sum is σ = 232389273600. Its totient is φ = 17240573952.

The previous prime is 64090692283. The next prime is 64090692311. The reversal of 64090692288 is 88229609046.

It is a happy number.

64090692288 is a `hidden beast` number, since 6 + 409 + 0 + 6 + 9 + 228 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (64090692283) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 105585681 + ... + 105586287.

Almost surely, 2^64090692288 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 64090692288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116194636800).

64090692288 is an abundant number, since it is smaller than the sum of its proper divisors (168298581312).

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

64090692288 is a wasteful number, since it uses less digits than its factorization.

64090692288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 64090692288 in words is "sixty-four billion, ninety million, six hundred ninety-two thousand, two hundred eighty-eight".