6801958080 has 168 divisors, whose sum is σ = 23552347104. Its totient is φ = 1801728000.

The previous prime is 6801958057. The next prime is 6801958081. The reversal of 6801958080 is 808591086.

6801958080 is a `hidden beast` number, since 68 + 0 + 1 + 9 + 580 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6801958081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 427060 + ... + 442700.

Almost surely, 2^6801958080 is an apocalyptic number.

6801958080 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 6801958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11776173552).

6801958080 is an abundant number, since it is smaller than the sum of its proper divisors (16750389024).

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

6801958080 is a wasteful number, since it uses less digits than its factorization.

6801958080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15815 (or 15802 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 6801958080 is about 82473.9842617052. The cubic root of 6801958080 is about 1894.7183027036.

The spelling of 6801958080 in words is "six billion, eight hundred one million, nine hundred fifty-eight thousand, eighty".