6171401880 has 512 divisors, whose sum is σ = 25712640000. Its totient is φ = 1283973120.

The previous prime is 6171401827. The next prime is 6171401893. The reversal of 6171401880 is 881041716.

6171401880 is a `hidden beast` number, since 6 + 171 + 401 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3983346 + ... + 3984894.

It is an arithmetic number, because the mean of its divisors is an integer number (50220000).

Almost surely, 2^6171401880 is an apocalyptic number.

6171401880 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 6171401880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12856320000).

6171401880 is an abundant number, since it is smaller than the sum of its proper divisors (19541238120).

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

6171401880 is a wasteful number, since it uses less digits than its factorization.

6171401880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 6171401880 is about 78558.2706021460. The cubic root of 6171401880 is about 1834.2616079958.

The spelling of 6171401880 in words is "six billion, one hundred seventy-one million, four hundred one thousand, eight hundred eighty".