264435126202464 has 192 divisors, whose sum is σ = 796315325363712. Its totient is φ = 75266763264000.

The previous prime is 264435126202451. The next prime is 264435126202579. The reversal of 264435126202464 is 464202621534462.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190449939 + ... + 191833389.

It is an arithmetic number, because the mean of its divisors is an integer number (4147475652936).

Almost surely, 2^{264435126202464} is an apocalyptic number.

264435126202464 is a gapful number since it is divisible by the number (24) 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 264435126202464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398157662681856).

264435126202464 is an abundant number, since it is smaller than the sum of its proper divisors (531880199161248).

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

264435126202464 is a wasteful number, since it uses less digits than its factorization.

264435126202464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384549 (or 1384541 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 51.

The spelling of 264435126202464 in words is "two hundred sixty-four trillion, four hundred thirty-five billion, one hundred twenty-six million, two hundred two thousand, four hundred sixty-four".