6178740000 has 480 divisors, whose sum is σ = 21680809920. Its totient is φ = 1537536000.

The previous prime is 6178739999. The next prime is 6178740031. The reversal of 6178740000 is 478716.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 92219967 + ... + 92220033.

It is an arithmetic number, because the mean of its divisors is an integer number (45168354).

Almost surely, 2^6178740000 is an apocalyptic number.

6178740000 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 6178740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10840404960).

6178740000 is an abundant number, since it is smaller than the sum of its proper divisors (15502069920).

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

6178740000 is a wasteful number, since it uses less digits than its factorization.

6178740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 6178740000 is about 78604.9616754566. The cubic root of 6178740000 is about 1834.9883310689.

The spelling of 6178740000 in words is "six billion, one hundred seventy-eight million, seven hundred forty thousand".