63738037440 has 2016 divisors, whose sum is σ = 307345933440. Its totient is φ = 11808276480.

The previous prime is 63738037373. The next prime is 63738037459. The reversal of 63738037440 is 4473083736.

63738037440 is a `hidden beast` number, since 63 + 73 + 80 + 3 + 7 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1202604454 + ... + 1202604506.

It is an arithmetic number, because the mean of its divisors is an integer number (152453340).

Almost surely, 2^63738037440 is an apocalyptic number.

63738037440 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 63738037440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153672966720).

63738037440 is an abundant number, since it is smaller than the sum of its proper divisors (243607896000).

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

63738037440 is a wasteful number, since it uses less digits than its factorization.

63738037440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 63738037440 in words is "sixty-three billion, seven hundred thirty-eight million, thirty-seven thousand, four hundred forty".