63748675200 has 384 divisors, whose sum is σ = 240947435520. Its totient is φ = 14511697920.

The previous prime is 63748675183. The next prime is 63748675201. The reversal of 63748675200 is 257684736.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 63748675200.

It is not an unprimeable number, because it can be changed into a prime (63748675201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17671797 + ... + 17675403.

It is an arithmetic number, because the mean of its divisors is an integer number (627467280).

Almost surely, 2^63748675200 is an apocalyptic number.

63748675200 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 63748675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120473717760).

63748675200 is an abundant number, since it is smaller than the sum of its proper divisors (177198760320).

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

63748675200 is a wasteful number, since it uses less digits than its factorization.

63748675200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3904 (or 3887 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 63748675200 in words is "sixty-three billion, seven hundred forty-eight million, six hundred seventy-five thousand, two hundred".