643260115680 has 384 divisors, whose sum is σ = 2546939179008. Its totient is φ = 132832714752.

The previous prime is 643260115657. The next prime is 643260115709. The reversal of 643260115680 is 86511062346.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1896294 + ... + 2209626.

It is an arithmetic number, because the mean of its divisors is an integer number (6632654112).

Almost surely, 2^643260115680 is an apocalyptic number.

643260115680 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 643260115680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273469589504).

643260115680 is an abundant number, since it is smaller than the sum of its proper divisors (1903679063328).

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

643260115680 is a wasteful number, since it uses less digits than its factorization.

643260115680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313418 (or 313410 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 643260115680 in words is "six hundred forty-three billion, two hundred sixty million, one hundred fifteen thousand, six hundred eighty".