6767742240 has 384 divisors, whose sum is σ = 28498176000. Its totient is φ = 1465371648.

The previous prime is 6767742133. The next prime is 6767742253. The reversal of 6767742240 is 422477676.

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 63 ways as a sum of consecutive naturals, for example, 568671 + ... + 580449.

It is an arithmetic number, because the mean of its divisors is an integer number (74214000).

Almost surely, 2^6767742240 is an apocalyptic number.

6767742240 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 6767742240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14249088000).

6767742240 is an abundant number, since it is smaller than the sum of its proper divisors (21730433760).

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

6767742240 is a wasteful number, since it uses less digits than its factorization.

6767742240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11829 (or 11815 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The square root of 6767742240 is about 82266.2885998876. The cubic root of 6767742240 is about 1891.5359648182.

The spelling of 6767742240 in words is "six billion, seven hundred sixty-seven million, seven hundred forty-two thousand, two hundred forty".