63407983250304 has 1152 divisors, whose sum is σ = 237194455680000. Its totient is φ = 16236770457600.

The previous prime is 63407983250263. The next prime is 63407983250371. The reversal of 63407983250304 is 40305238970436.

63407983250304 is a `hidden beast` number, since 6 + 3 + 4 + 0 + 7 + 9 + 8 + 325 + 0 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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, 3394604037 + ... + 3394622715.

It is an arithmetic number, because the mean of its divisors is an integer number (205897965000).

Almost surely, 2^{63407983250304} is an apocalyptic number.

63407983250304 is a gapful number since it is divisible by the number (64) 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 63407983250304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118597227840000).

63407983250304 is an abundant number, since it is smaller than the sum of its proper divisors (173786472429696).

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

63407983250304 is a wasteful number, since it uses less digits than its factorization.

63407983250304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18813 (or 18773 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 63407983250304 in words is "sixty-three trillion, four hundred seven billion, nine hundred eighty-three million, two hundred fifty thousand, three hundred four".