641347200 has 384 divisors, whose sum is σ = 2532129600. Its totient is φ = 157593600.

The previous prime is 641347199. The next prime is 641347237. The reversal of 641347200 is 2743146.

641347200 is a `hidden beast` number, since 6 + 413 + 47 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×641347200² = 822652461895680000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1122915 + ... + 1123485.

Almost surely, 2^641347200 is an apocalyptic number.

641347200 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 641347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266064800).

641347200 is an abundant number, since it is smaller than the sum of its proper divisors (1890782400).

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

641347200 is a wasteful number, since it uses less digits than its factorization.

641347200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 641347200 is about 25324.8336618427. The cubic root of 641347200 is about 862.3781302288.

The spelling of 641347200 in words is "six hundred forty-one million, three hundred forty-seven thousand, two hundred".