640819200 has 336 divisors, whose sum is σ = 2437790400. Its totient is φ = 145489920.

The previous prime is 640819189. The next prime is 640819219. The reversal of 640819200 is 2918046.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4300726 + ... + 4300874.

Almost surely, 2^640819200 is an apocalyptic number.

640819200 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 640819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218895200).

640819200 is an abundant number, since it is smaller than the sum of its proper divisors (1796971200).

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

640819200 is a wasteful number, since it uses less digits than its factorization.

640819200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 640819200 is about 25314.4069652046. The cubic root of 640819200 is about 862.1414094302.

It can be divided in two parts, 640 and 819200, that added together give a triangular number (819840 = T₁₂₈₀).

The spelling of 640819200 in words is "six hundred forty million, eight hundred nineteen thousand, two hundred".