264363614403420 has 192 divisors, whose sum is σ = 895735524612096. Its totient is φ = 56870903685120.

The previous prime is 264363614403409. The next prime is 264363614403463. The reversal of 264363614403420 is 24304416363462.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 264363614403420.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1199574040 + ... + 1199794400.

It is an arithmetic number, because the mean of its divisors is an integer number (4665289190688).

Almost surely, 2^{264363614403420} is an apocalyptic number.

264363614403420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264363614403420 is an abundant number, since it is smaller than the sum of its proper divisors (631371910208676).

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

264363614403420 is a wasteful number, since it uses less digits than its factorization.

264363614403420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388420 (or 388418 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 48.

The spelling of 264363614403420 in words is "two hundred sixty-four trillion, three hundred sixty-three billion, six hundred fourteen million, four hundred three thousand, four hundred twenty".