641052000 has 144 divisors (see below), whose sum is σ = 2275221312. Its totient is φ = 170937600.

The previous prime is 641051953. The next prime is 641052011. The reversal of 641052000 is 250146.

It is a happy number.

641052000 is a `hidden beast` number, since 641 + 0 + 5 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27097 + ... + 44903.

It is an arithmetic number, because the mean of its divisors is an integer number (15800148).

Almost surely, 2^641052000 is an apocalyptic number.

641052000 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 641052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137610656).

641052000 is an abundant number, since it is smaller than the sum of its proper divisors (1634169312).

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

641052000 is a wasteful number, since it uses less digits than its factorization.

641052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17838 (or 17817 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 641052000 is about 25319.0047197752. The cubic root of 641052000 is about 862.2457978029.

The spelling of 641052000 in words is "six hundred forty-one million, fifty-two thousand".