643135887360 has 384 divisors, whose sum is σ = 2309811940800. Its totient is φ = 169727754240.

The previous prime is 643135887341. The next prime is 643135887403. The reversal of 643135887360 is 63788531346.

643135887360 is a `hidden beast` number, since 6 + 43 + 13 + 588 + 7 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×643135887360² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 643135887297 and 643135887306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26806570 + ... + 26830550.

Almost surely, 2^643135887360 is an apocalyptic number.

643135887360 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 643135887360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154905970400).

643135887360 is an abundant number, since it is smaller than the sum of its proper divisors (1666676053440).

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

643135887360 is a wasteful number, since it uses less digits than its factorization.

643135887360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24114 (or 24088 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 643135887360 in words is "six hundred forty-three billion, one hundred thirty-five million, eight hundred eighty-seven thousand, three hundred sixty".