63949528468800 has 1344 divisors, whose sum is σ = 257574968313600. Its totient is φ = 15333625036800.

The previous prime is 63949528468783. The next prime is 63949528468853. The reversal of 63949528468800 is 886482594936.

It is a happy number.

63949528468800 is a `hidden beast` number, since 6 + 3 + 94 + 9 + 528 + 4 + 6 + 8 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18121145436 + ... + 18121148964.

It is an arithmetic number, because the mean of its divisors is an integer number (191648041900).

Almost surely, 2^{63949528468800} is an apocalyptic number.

63949528468800 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 63949528468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128787484156800).

63949528468800 is an abundant number, since it is smaller than the sum of its proper divisors (193625439844800).

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

63949528468800 is a wasteful number, since it uses less digits than its factorization.

63949528468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4401 (or 4380 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 72.

The spelling of 63949528468800 in words is "sixty-three trillion, nine hundred forty-nine billion, five hundred twenty-eight million, four hundred sixty-eight thousand, eight hundred".