640100769 has 96 divisors (see below), whose sum is σ = 1126137600. Its totient is φ = 322882560.

The previous prime is 640100767. The next prime is 640100807. The reversal of 640100769 is 967001046.

It is a happy number.

It is not a de Polignac number, because 640100769 - 2¹ = 640100767 is a prime.

It is a super-3 number, since 3×640100769³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (640100767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6598929 + ... + 6599025.

It is an arithmetic number, because the mean of its divisors is an integer number (11730600).

Almost surely, 2^640100769 is an apocalyptic number.

It is an amenable number.

640100769 is a deficient number, since it is larger than the sum of its proper divisors (486036831).

640100769 is a wasteful number, since it uses less digits than its factorization.

640100769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 640100769 is about 25300.2128251918. The cubic root of 640100769 is about 861.8191028536.

The spelling of 640100769 in words is "six hundred forty million, one hundred thousand, seven hundred sixty-nine".