263064666020400 has 720 divisors, whose sum is σ = 983556419788800. Its totient is φ = 64920942028800.

The previous prime is 263064666020357. The next prime is 263064666020411. The reversal of 263064666020400 is 4020666460362.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14494710526 + ... + 14494728674.

It is an arithmetic number, because the mean of its divisors is an integer number (1366050583040).

Almost surely, 2^{263064666020400} is an apocalyptic number.

263064666020400 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 263064666020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491778209894400).

263064666020400 is an abundant number, since it is smaller than the sum of its proper divisors (720491753768400).

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

263064666020400 is a wasteful number, since it uses less digits than its factorization.

263064666020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23874 (or 23860 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 263064666020400 in words is "two hundred sixty-three trillion, sixty-four billion, six hundred sixty-six million, twenty thousand, four hundred".