641456800 has 144 divisors (see below), whose sum is σ = 1660206240. Its totient is φ = 241597440.

The previous prime is 641456797. The next prime is 641456831. The reversal of 641456800 is 8654146.

641456800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×641456800² = 822933652532480000, which contains 22 as substring.

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, 997279 + ... + 997921.

It is an arithmetic number, because the mean of its divisors is an integer number (11529210).

Almost surely, 2^641456800 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 641456800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830103120).

641456800 is an abundant number, since it is smaller than the sum of its proper divisors (1018749440).

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

641456800 is a wasteful number, since it uses less digits than its factorization.

641456800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 641456800 is about 25326.9974533106. The cubic root of 641456800 is about 862.4272514431.

The spelling of 641456800 in words is "six hundred forty-one million, four hundred fifty-six thousand, eight hundred".