6774001080 has 288 divisors, whose sum is σ = 25987061520. Its totient is φ = 1407436800.

The previous prime is 6774001079. The next prime is 6774001081. The reversal of 6774001080 is 801004776.

It is an interprime number because it is at equal distance from previous prime (6774001079) and next prime (6774001081).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6774001081) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 706720 + ... + 716240.

Almost surely, 2^6774001080 is an apocalyptic number.

6774001080 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 6774001080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12993530760).

6774001080 is an abundant number, since it is smaller than the sum of its proper divisors (19213060440).

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

6774001080 is a wasteful number, since it uses less digits than its factorization.

6774001080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9571 (or 9549 counting only the distinct ones).

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

The square root of 6774001080 is about 82304.3199352258. The cubic root of 6774001080 is about 1892.1188856249.

The spelling of 6774001080 in words is "six billion, seven hundred seventy-four million, one thousand, eighty".