63751968000 has 1152 divisors, whose sum is σ = 274274058240. Its totient is φ = 14282956800.

The previous prime is 63751967989. The next prime is 63751968089. The reversal of 63751968000 is 86915736.

It is a happy number.

63751968000 is a `hidden beast` number, since 637 + 5 + 1 + 9 + 6 + 8 + 0 + 0 + 0 = 666.

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

It is a super-3 number, since 3×63751968000³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 501983937 + ... + 501984063.

It is an arithmetic number, because the mean of its divisors is an integer number (238085120).

Almost surely, 2^63751968000 is an apocalyptic number.

63751968000 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 63751968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137137029120).

63751968000 is an abundant number, since it is smaller than the sum of its proper divisors (210522090240).

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

63751968000 is a wasteful number, since it uses less digits than its factorization.

63751968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 63751968000 in words is "sixty-three billion, seven hundred fifty-one million, nine hundred sixty-eight thousand".