6178667040 has 960 divisors, whose sum is σ = 27867248640. Its totient is φ = 1261578240.

The previous prime is 6178667029. The next prime is 6178667069. The reversal of 6178667040 is 407668716.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 199311825 + ... + 199311855.

It is an arithmetic number, because the mean of its divisors is an integer number (29028384).

Almost surely, 2^6178667040 is an apocalyptic number.

6178667040 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 6178667040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13933624320).

6178667040 is an abundant number, since it is smaller than the sum of its proper divisors (21688581600).

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

6178667040 is a wasteful number, since it uses less digits than its factorization.

6178667040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 6178667040 is about 78604.4975812453. The cubic root of 6178667040 is about 1834.9811083840.

The spelling of 6178667040 in words is "six billion, one hundred seventy-eight million, six hundred sixty-seven thousand, forty".