6180365283840 has 2880 divisors, whose sum is σ = 26873067513600. Its totient is φ = 1342445322240.

The previous prime is 6180365283823. The next prime is 6180365283847. The reversal of 6180365283840 is 483825630816.

6180365283840 is a `hidden beast` number, since 6 + 1 + 8 + 0 + 36 + 528 + 3 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is not an unprimeable number, because it can be changed into a prime (6180365283847) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 69442306516 + ... + 69442306604.

It is an arithmetic number, because the mean of its divisors is an integer number (9330926220).

Almost surely, 2^{6180365283840} is an apocalyptic number.

6180365283840 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 6180365283840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13436533756800).

6180365283840 is an abundant number, since it is smaller than the sum of its proper divisors (20692702229760).

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

6180365283840 is a wasteful number, since it uses less digits than its factorization.

6180365283840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 152 counting only the distinct ones).

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

The spelling of 6180365283840 in words is "six trillion, one hundred eighty billion, three hundred sixty-five million, two hundred eighty-three thousand, eight hundred forty".