6697777905 has 144 divisors (see below), whose sum is σ = 15177576960. Its totient is φ = 2703165696.

The previous prime is 6697777897. The next prime is 6697777907. The reversal of 6697777905 is 5097777966.

It is not a de Polignac number, because 6697777905 - 2³ = 6697777897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (6697777907) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 654216 + ... + 664374.

It is an arithmetic number, because the mean of its divisors is an integer number (105399840).

Almost surely, 2^6697777905 is an apocalyptic number.

6697777905 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6697777905 is an abundant number, since it is smaller than the sum of its proper divisors (8479799055).

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

6697777905 is a wasteful number, since it uses less digits than its factorization.

6697777905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10220 (or 10210 counting only the distinct ones).

The product of its (nonzero) digits is 35006580, while the sum is 63.

The square root of 6697777905 is about 81839.9529875232. The cubic root of 6697777905 is about 1884.9951949632.

The spelling of 6697777905 in words is "six billion, six hundred ninety-seven million, seven hundred seventy-seven thousand, nine hundred five".