640714200 has 576 divisors, whose sum is σ = 2578406400. Its totient is φ = 130636800.

The previous prime is 640714187. The next prime is 640714201. The reversal of 640714200 is 2417046.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640714201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17316582 + ... + 17316618.

It is an arithmetic number, because the mean of its divisors is an integer number (4476400).

Almost surely, 2^640714200 is an apocalyptic number.

640714200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640714200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289203200).

640714200 is an abundant number, since it is smaller than the sum of its proper divisors (1937692200).

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

640714200 is a wasteful number, since it uses less digits than its factorization.

640714200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 640714200 is about 25312.3329624118. The cubic root of 640714200 is about 862.0943187725.

The spelling of 640714200 in words is "six hundred forty million, seven hundred fourteen thousand, two hundred".