203480726400 has 768 divisors, whose sum is σ = 878600908800. Its totient is φ = 45005414400.

The previous prime is 203480726327. The next prime is 203480726429. The reversal of 203480726400 is 4627084302.

203480726400 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 8 + 0 + 7 + 2 + 640 + 0 = 666.

203480726400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 18743374 + ... + 18754226.

It is an arithmetic number, because the mean of its divisors is an integer number (1144011600).

Almost surely, 2^203480726400 is an apocalyptic number.

203480726400 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 203480726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439300454400).

203480726400 is an abundant number, since it is smaller than the sum of its proper divisors (675120182400).

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

203480726400 is a wasteful number, since it uses less digits than its factorization.

203480726400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10924 (or 10901 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 203480726400 in words is "two hundred three billion, four hundred eighty million, seven hundred twenty-six thousand, four hundred".