63763200000000 has 1620 divisors, whose sum is σ = 244600409920776. Its totient is φ = 16588800000000.

The previous prime is 63763199999861. The next prime is 63763200000037. The reversal of 63763200000000 is 236736.

63763200000000 is a `hidden beast` number, since 637 + 6 + 3 + 20 + 0 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 63763200000000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1555199999980 + ... + 1555200000020.

Almost surely, 2^{63763200000000} is an apocalyptic number.

63763200000000 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 63763200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122300204960388).

63763200000000 is an abundant number, since it is smaller than the sum of its proper divisors (180837209920776).

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

63763200000000 is an frugal number, since it uses more digits than its factorization.

63763200000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

Adding to 63763200000000 its reverse (236736), we get a palindrome (63763200236736).

The spelling of 63763200000000 in words is "sixty-three trillion, seven hundred sixty-three billion, two hundred million", and thus it is an aban number.