6401765436888 has 128 divisors (see below), whose sum is σ = 17240853715200. Its totient is φ = 1973580263424.

The previous prime is 6401765436887. The next prime is 6401765436889. The reversal of 6401765436888 is 8886345671046.

It is an interprime number because it is at equal distance from previous prime (6401765436887) and next prime (6401765436889).

It is a super-2 number, since 2×6401765436888² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6401765436887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10894131 + ... + 11466717.

It is an arithmetic number, because the mean of its divisors is an integer number (134694169650).

Almost surely, 2^{6401765436888} is an apocalyptic number.

6401765436888 is a gapful number since it is divisible by the number (68) 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 6401765436888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8620426857600).

6401765436888 is an abundant number, since it is smaller than the sum of its proper divisors (10839088278312).

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

6401765436888 is a wasteful number, since it uses less digits than its factorization.

6401765436888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573089 (or 573085 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 66.

The spelling of 6401765436888 in words is "six trillion, four hundred one billion, seven hundred sixty-five million, four hundred thirty-six thousand, eight hundred eighty-eight".