6187943040 has 128 divisors (see below), whose sum is σ = 20205400320. Its totient is φ = 1609850880.

The previous prime is 6187942991. The next prime is 6187943057. The reversal of 6187943040 is 403497816.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 6187942983 and 6187943001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39417 + ... + 118023.

It is an arithmetic number, because the mean of its divisors is an integer number (157854690).

Almost surely, 2^6187943040 is an apocalyptic number.

6187943040 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 6187943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10102700160).

6187943040 is an abundant number, since it is smaller than the sum of its proper divisors (14017457280).

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

6187943040 is a wasteful number, since it uses less digits than its factorization.

6187943040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78670 (or 78658 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 6187943040 is about 78663.4797094560. The cubic root of 6187943040 is about 1835.8989316923.

The spelling of 6187943040 in words is "six billion, one hundred eighty-seven million, nine hundred forty-three thousand, forty".