6436397731764 has 576 divisors, whose sum is σ = 21457409146880. Its totient is φ = 1457122867200.

The previous prime is 6436397731733. The next prime is 6436397731823. The reversal of 6436397731764 is 4671377936346.

It is a super-2 number, since 2×6436397731764² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 6436397731695 and 6436397731704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 785784909 + ... + 785793099.

Almost surely, 2^{6436397731764} 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 6436397731764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10728704573440).

6436397731764 is an abundant number, since it is smaller than the sum of its proper divisors (15021011415116).

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

6436397731764 is a wasteful number, since it uses less digits than its factorization.

6436397731764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8572 (or 8559 counting only the distinct ones).

The product of its digits is 288054144, while the sum is 66.

The spelling of 6436397731764 in words is "six trillion, four hundred thirty-six billion, three hundred ninety-seven million, seven hundred thirty-one thousand, seven hundred sixty-four".