531964902768 has 640 divisors, whose sum is σ = 1676952668160. Its totient is φ = 143645736960.

The previous prime is 531964902767. The next prime is 531964902779. The reversal of 531964902768 is 867209469135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531964902767) 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 127 ways as a sum of consecutive naturals, for example, 2207323128 + ... + 2207323368.

It is an arithmetic number, because the mean of its divisors is an integer number (2620238544).

It is a 1-persistent number, because it is pandigital, but 2⋅531964902768 = 1063929805536 is not.

Almost surely, 2^531964902768 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 531964902768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838476334080).

531964902768 is an abundant number, since it is smaller than the sum of its proper divisors (1144987765392).

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

531964902768 is a wasteful number, since it uses less digits than its factorization.

531964902768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 531964902768 in words is "five hundred thirty-one billion, nine hundred sixty-four million, nine hundred two thousand, seven hundred sixty-eight".