6918071040 has 432 divisors, whose sum is σ = 24936440256. Its totient is φ = 1769472000.

The previous prime is 6918071033. The next prime is 6918071063. The reversal of 6918071040 is 401708196.

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

It is a junction number, because it is equal to n+sod(n) for n = 6918070986 and 6918071004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45814965 + ... + 45815115.

Almost surely, 2^6918071040 is an apocalyptic number.

6918071040 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 6918071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12468220128).

6918071040 is an abundant number, since it is smaller than the sum of its proper divisors (18018369216).

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

6918071040 is a wasteful number, since it uses less digits than its factorization.

6918071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 6918071040 is about 83174.9423805030. The cubic root of 6918071040 is about 1905.4388060602.

The spelling of 6918071040 in words is "six billion, nine hundred eighteen million, seventy-one thousand, forty".