640174752 has 288 divisors, whose sum is σ = 2274854400. Its totient is φ = 173000448.

The previous prime is 640174751. The next prime is 640174781. The reversal of 640174752 is 257471046.

640174752 is a `hidden beast` number, since 640 + 1 + 7 + 4 + 7 + 5 + 2 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (640174751) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1033899 + ... + 1034517.

It is an arithmetic number, because the mean of its divisors is an integer number (7898800).

Almost surely, 2^640174752 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 640174752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137427200).

640174752 is an abundant number, since it is smaller than the sum of its proper divisors (1634679648).

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

640174752 is a wasteful number, since it uses less digits than its factorization.

640174752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 640174752 is about 25301.6748852719. The cubic root of 640174752 is about 861.8523046605.

The spelling of 640174752 in words is "six hundred forty million, one hundred seventy-four thousand, seven hundred fifty-two".