264435163440 has 160 divisors (see below), whose sum is σ = 938864908800. Its totient is φ = 60312717312.

The previous prime is 264435163423. The next prime is 264435163451. The reversal of 264435163440 is 44361534462.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 264435163392 and 264435163401.

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, 616036 + ... + 953084.

It is an arithmetic number, because the mean of its divisors is an integer number (5867905680).

Almost surely, 2^264435163440 is an apocalyptic number.

264435163440 is a gapful number since it is divisible by the number (20) 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 264435163440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469432454400).

264435163440 is an abundant number, since it is smaller than the sum of its proper divisors (674429745360).

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

264435163440 is a wasteful number, since it uses less digits than its factorization.

264435163440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337539 (or 337533 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 264435163440 in words is "two hundred sixty-four billion, four hundred thirty-five million, one hundred sixty-three thousand, four hundred forty".