6767000064 has 160 divisors (see below), whose sum is σ = 21852262080. Its totient is φ = 2050560000.

The previous prime is 6767000033. The next prime is 6767000069. The reversal of 6767000064 is 4600007676.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6766999992 and 6767000028.

It is not an unprimeable number, because it can be changed into a prime (6767000069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129814 + ... + 174314.

It is an arithmetic number, because the mean of its divisors is an integer number (136576638).

Almost surely, 2^6767000064 is an apocalyptic number.

6767000064 is a gapful number since it is divisible by the number (64) 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 6767000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10926131040).

6767000064 is an abundant number, since it is smaller than the sum of its proper divisors (15085262016).

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

6767000064 is a wasteful number, since it uses less digits than its factorization.

6767000064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44539 (or 44517 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 6767000064 is about 82261.7776613173. Note that the first 3 decimals coincide. The cubic root of 6767000064 is about 1891.4668179808.

The spelling of 6767000064 in words is "six billion, seven hundred sixty-seven million, sixty-four", and thus it is an aban number.