643026720 has 192 divisors, whose sum is σ = 2328431616. Its totient is φ = 146119680.

The previous prime is 643026719. The next prime is 643026721. The reversal of 643026720 is 27620346.

It is an interprime number because it is at equal distance from previous prime (643026719) and next prime (643026721).

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

It is not an unprimeable number, because it can be changed into a prime (643026721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 708507 + ... + 709413.

It is an arithmetic number, because the mean of its divisors is an integer number (12127248).

Almost surely, 2^643026720 is an apocalyptic number.

643026720 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 643026720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164215808).

643026720 is an abundant number, since it is smaller than the sum of its proper divisors (1685404896).

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

643026720 is a wasteful number, since it uses less digits than its factorization.

643026720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 643026720 is about 25357.9715277070. The cubic root of 643026720 is about 863.1302547376.

It can be divided in two parts, 6 and 43026720, that added together give a triangular number (43026726 = T₉₂₇₆).

The spelling of 643026720 in words is "six hundred forty-three million, twenty-six thousand, seven hundred twenty".