6359882780160 has 3200 divisors, whose sum is σ = 30038747397120. Its totient is φ = 1253826625536.

The previous prime is 6359882780101. The next prime is 6359882780213. The reversal of 6359882780160 is 610872889536.

6359882780160 is a `hidden beast` number, since 6 + 3 + 598 + 8 + 27 + 8 + 0 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 87121681884 + ... + 87121681956.

Almost surely, 2^{6359882780160} is an apocalyptic number.

6359882780160 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 6359882780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15019373698560).

6359882780160 is an abundant number, since it is smaller than the sum of its proper divisors (23678864616960).

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

6359882780160 is an frugal number, since it uses more digits than its factorization.

6359882780160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 6359882780160 in words is "six trillion, three hundred fifty-nine billion, eight hundred eighty-two million, seven hundred eighty thousand, one hundred sixty".