6181322004 has 192 divisors, whose sum is σ = 19436175360. Its totient is φ = 1673136000.

The previous prime is 6181321981. The next prime is 6181322027. The reversal of 6181322004 is 4002231816.

It is an interprime number because it is at equal distance from previous prime (6181321981) and next prime (6181322027).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 472309 + ... + 485219.

It is an arithmetic number, because the mean of its divisors is an integer number (101230080).

Almost surely, 2^6181322004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6181322004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9718087680).

6181322004 is an abundant number, since it is smaller than the sum of its proper divisors (13254853356).

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

6181322004 is a wasteful number, since it uses less digits than its factorization.

6181322004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12979 (or 12971 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6181322004 is about 78621.3838850475. The cubic root of 6181322004 is about 1835.2439002945.

The spelling of 6181322004 in words is "six billion, one hundred eighty-one million, three hundred twenty-two thousand, four".