6787061280 has 480 divisors, whose sum is σ = 25103575728. Its totient is φ = 1725235200.

The previous prime is 6787061261. The next prime is 6787061299. The reversal of 6787061280 is 821607876.

It is an interprime number because it is at equal distance from previous prime (6787061261) and next prime (6787061299).

It can be written as a sum of positive squares in 8 ways, for example, as 2676199824 + 4110861456 = 51732^2 + 64116^2 .

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

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 79 ways as a sum of consecutive naturals, for example, 28161960 + ... + 28162200.

Almost surely, 2^6787061280 is an apocalyptic number.

6787061280 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 6787061280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12551787864).

6787061280 is an abundant number, since it is smaller than the sum of its proper divisors (18316514448).

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

6787061280 is a wasteful number, since it uses less digits than its factorization.

6787061280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 6787061280 is about 82383.6226443096. The cubic root of 6787061280 is about 1893.3340998256.

The spelling of 6787061280 in words is "six billion, seven hundred eighty-seven million, sixty-one thousand, two hundred eighty".