6777734000 has 80 divisors (see below), whose sum is σ = 16831678656. Its totient is φ = 2637792000.

The previous prime is 6777733997. The next prime is 6777734057. The reversal of 6777734000 is 4377776.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28205 + ... + 119795.

Almost surely, 2^6777734000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6777734000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8415839328).

6777734000 is an abundant number, since it is smaller than the sum of its proper divisors (10053944656).

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

6777734000 is a wasteful number, since it uses less digits than its factorization.

6777734000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91651 (or 91635 counting only the distinct ones).

The product of its (nonzero) digits is 172872, while the sum is 41.

The square root of 6777734000 is about 82326.9943578654. The cubic root of 6777734000 is about 1892.4663824405.

The spelling of 6777734000 in words is "six billion, seven hundred seventy-seven million, seven hundred thirty-four thousand".