641364480 has 240 divisors, whose sum is σ = 2305727424. Its totient is φ = 170864640.

The previous prime is 641364473. The next prime is 641364539. The reversal of 641364480 is 84463146.

641364480 is a `hidden beast` number, since 6 + 4 + 1 + 3 + 644 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×641364480² = 822696792411340800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 621565 + ... + 622595.

Almost surely, 2^641364480 is an apocalyptic number.

641364480 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 641364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152863712).

641364480 is an abundant number, since it is smaller than the sum of its proper divisors (1664362944).

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

641364480 is an equidigital number, since it uses as much as digits as its factorization.

641364480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 641364480 is about 25325.1748266424. The cubic root of 641364480 is about 862.3858752590.

The spelling of 641364480 in words is "six hundred forty-one million, three hundred sixty-four thousand, four hundred eighty".