263326464000 has 1344 divisors, whose sum is σ = 1055724153120. Its totient is φ = 65293516800.

The previous prime is 263326463989. The next prime is 263326464029. The reversal of 263326464000 is 464623362.

263326464000 is a `hidden beast` number, since 2 + 6 + 3 + 3 + 2 + 6 + 4 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3172607959 + ... + 3172608041.

Almost surely, 2^263326464000 is an apocalyptic number.

263326464000 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 263326464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527862076560).

263326464000 is an abundant number, since it is smaller than the sum of its proper divisors (792397689120).

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

263326464000 is an frugal number, since it uses more digits than its factorization.

263326464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 263326464000 in words is "two hundred sixty-three billion, three hundred twenty-six million, four hundred sixty-four thousand".