6761397888 has 240 divisors, whose sum is σ = 23408762850. Its totient is φ = 1931682816.

The previous prime is 6761397859. The next prime is 6761397911. The reversal of 6761397888 is 8887931676.

6761397888 is a `hidden beast` number, since 6 + 7 + 613 + 9 + 7 + 8 + 8 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6748951104 + 12446784 = 82152^2 + 3528^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 501378 + ... + 514686.

Almost surely, 2^6761397888 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 6761397888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11704381425).

6761397888 is an abundant number, since it is smaller than the sum of its proper divisors (16647364962).

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

6761397888 is a wasteful number, since it uses less digits than its factorization.

6761397888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13349 (or 13321 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The square root of 6761397888 is about 82227.7197057051. The cubic root of 6761397888 is about 1890.9447128936.

The spelling of 6761397888 in words is "six billion, seven hundred sixty-one million, three hundred ninety-seven thousand, eight hundred eighty-eight".