6811761880 has 128 divisors (see below), whose sum is σ = 19939322880. Its totient is φ = 2030814720.

The previous prime is 6811761863. The next prime is 6811761893. The reversal of 6811761880 is 881671186.

It is a super-2 number, since 2×6811761880² = 92800199819642268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 6811761880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22762 + ... + 118918.

It is an arithmetic number, because the mean of its divisors is an integer number (155775960).

Almost surely, 2^6811761880 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 6811761880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9969661440).

6811761880 is an abundant number, since it is smaller than the sum of its proper divisors (13127561000).

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

6811761880 is a wasteful number, since it uses less digits than its factorization.

6811761880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96209 (or 96205 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 46.

The square root of 6811761880 is about 82533.3985729414. The cubic root of 6811761880 is about 1895.6281643361.

The spelling of 6811761880 in words is "six billion, eight hundred eleven million, seven hundred sixty-one thousand, eight hundred eighty".