63790200240 has 320 divisors, whose sum is σ = 237359808000. Its totient is φ = 14000504832.

The previous prime is 63790200203. The next prime is 63790200269. The reversal of 63790200240 is 4200209736.

63790200240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 976111 + ... + 1039409.

It is an arithmetic number, because the mean of its divisors is an integer number (741749400).

Almost surely, 2^63790200240 is an apocalyptic number.

63790200240 is a gapful number since it is divisible by the number (60) 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 63790200240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118679904000).

63790200240 is an abundant number, since it is smaller than the sum of its proper divisors (173569607760).

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

63790200240 is a wasteful number, since it uses less digits than its factorization.

63790200240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63364 (or 63358 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

Adding to 63790200240 its reverse (4200209736), we get a palindrome (67990409976).

The spelling of 63790200240 in words is "sixty-three billion, seven hundred ninety million, two hundred thousand, two hundred forty".