643013301840 has 1280 divisors, whose sum is σ = 2728625356800. Its totient is φ = 121398165504.

The previous prime is 643013301829. The next prime is 643013301871. The reversal of 643013301840 is 48103310346.

It is a super-2 number, since 2×643013301840² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 849422742 + ... + 849423498.

It is an arithmetic number, because the mean of its divisors is an integer number (2131738560).

Almost surely, 2^643013301840 is an apocalyptic number.

643013301840 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 643013301840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364312678400).

643013301840 is an abundant number, since it is smaller than the sum of its proper divisors (2085612054960).

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

643013301840 is a wasteful number, since it uses less digits than its factorization.

643013301840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 643013301840 in words is "six hundred forty-three billion, thirteen million, three hundred one thousand, eight hundred forty".