263616460800 has 1152 divisors, whose sum is σ = 1123128115200. Its totient is φ = 52936704000.

The previous prime is 263616460777. The next prime is 263616460817. The reversal of 263616460800 is 8064616362.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 366642841 + ... + 366643559.

It is an arithmetic number, because the mean of its divisors is an integer number (974937600).

Almost surely, 2^263616460800 is an apocalyptic number.

263616460800 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 263616460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561564057600).

263616460800 is an abundant number, since it is smaller than the sum of its proper divisors (859511654400).

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

263616460800 is a wasteful number, since it uses less digits than its factorization.

263616460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 263616460800 in words is "two hundred sixty-three billion, six hundred sixteen million, four hundred sixty thousand, eight hundred".