6406756737864 has 128 divisors (see below), whose sum is σ = 18349442438400. Its totient is φ = 1826061557760.

The previous prime is 6406756737791. The next prime is 6406756737869. The reversal of 6406756737864 is 4687376576046.

It is a super-2 number, since 2×6406756737864² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6406756737869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 462875584 + ... + 462889424.

It is an arithmetic number, because the mean of its divisors is an integer number (143355019050).

Almost surely, 2^{6406756737864} 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 6406756737864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9174721219200).

6406756737864 is an abundant number, since it is smaller than the sum of its proper divisors (11942685700536).

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

6406756737864 is a wasteful number, since it uses less digits than its factorization.

6406756737864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20343 (or 20339 counting only the distinct ones).

The product of its (nonzero) digits is 853493760, while the sum is 69.

The spelling of 6406756737864 in words is "six trillion, four hundred six billion, seven hundred fifty-six million, seven hundred thirty-seven thousand, eight hundred sixty-four".