6179087047680 has 1232 divisors, whose sum is σ = 23102341189344. Its totient is φ = 1583765913600.

The previous prime is 6179087047621. The next prime is 6179087047681. The reversal of 6179087047680 is 867407809716.

6179087047680 is a `hidden beast` number, since 6 + 1 + 7 + 9 + 0 + 87 + 0 + 476 + 80 = 666.

It is a super-3 number, since 3×6179087047680³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6179087047681) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 13948277539 + ... + 13948277981.

Almost surely, 2^{6179087047680} is an apocalyptic number.

6179087047680 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 6179087047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11551170594672).

6179087047680 is an abundant number, since it is smaller than the sum of its proper divisors (16923254141664).

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

6179087047680 is a wasteful number, since it uses less digits than its factorization.

6179087047680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 6179087047680 in words is "six trillion, one hundred seventy-nine billion, eighty-seven million, forty-seven thousand, six hundred eighty".