6179880960000 has 1520 divisors, whose sum is σ = 25157722951680. Its totient is φ = 1486356480000.

The previous prime is 6179880959977. The next prime is 6179880960007. The reversal of 6179880960000 is 690889716.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6179880960007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48660479937 + ... + 48660480063.

Almost surely, 2^{6179880960000} is an apocalyptic number.

6179880960000 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 6179880960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12578861475840).

6179880960000 is an abundant number, since it is smaller than the sum of its proper divisors (18977841991680).

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

6179880960000 is an frugal number, since it uses more digits than its factorization.

6179880960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 6179880960000 in words is "six trillion, one hundred seventy-nine billion, eight hundred eighty million, nine hundred sixty thousand".