63800754474240 has 1296 divisors, whose sum is σ = 265417308675792. Its totient is φ = 14097793941504.

The previous prime is 63800754474239. The next prime is 63800754474293. The reversal of 63800754474240 is 4247445700836.

63800754474240 is a `hidden beast` number, since 6 + 3 + 8 + 0 + 0 + 7 + 544 + 74 + 24 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2998937281536 + 60801817192704 = 1731744^2 + 7797552^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3279054592 + ... + 3279074048.

It is an arithmetic number, because the mean of its divisors is an integer number (204797306077).

Almost surely, 2^{63800754474240} is an apocalyptic number.

63800754474240 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 63800754474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132708654337896).

63800754474240 is an abundant number, since it is smaller than the sum of its proper divisors (201616554201552).

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

63800754474240 is a wasteful number, since it uses less digits than its factorization.

63800754474240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19692 (or 19668 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 54.

The spelling of 63800754474240 in words is "sixty-three trillion, eight hundred billion, seven hundred fifty-four million, four hundred seventy-four thousand, two hundred forty".