643413160518480 has 800 divisors, whose sum is σ = 2447910695438208. Its totient is φ = 155334470860800.

The previous prime is 643413160518467. The next prime is 643413160518497. The reversal of 643413160518480 is 84815061314346.

643413160518480 is a `hidden beast` number, since 6 + 4 + 3 + 4 + 13 + 1 + 605 + 18 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 21162802959 + ... + 21162833361.

Almost surely, 2^{643413160518480} is an apocalyptic number.

643413160518480 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 643413160518480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223955347719104).

643413160518480 is an abundant number, since it is smaller than the sum of its proper divisors (1804497534919728).

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

643413160518480 is a wasteful number, since it uses less digits than its factorization.

643413160518480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31657 (or 31642 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 643413160518480 in words is "six hundred forty-three trillion, four hundred thirteen billion, one hundred sixty million, five hundred eighteen thousand, four hundred eighty".