63318720749040 has 560 divisors, whose sum is σ = 229079845764000. Its totient is φ = 16249514416128.

The previous prime is 63318720749029. The next prime is 63318720749047. The reversal of 63318720749040 is 4094702781336.

63318720749040 is a `hidden beast` number, since 6 + 3 + 31 + 87 + 2 + 0 + 7 + 490 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63318720749047) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 519161986 + ... + 519283934.

It is an arithmetic number, because the mean of its divisors is an integer number (409071153150).

Almost surely, 2^{63318720749040} is an apocalyptic number.

63318720749040 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 63318720749040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114539922882000).

63318720749040 is an abundant number, since it is smaller than the sum of its proper divisors (165761125014960).

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

63318720749040 is a wasteful number, since it uses less digits than its factorization.

63318720749040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122316 (or 122295 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 63318720749040 in words is "sixty-three trillion, three hundred eighteen billion, seven hundred twenty million, seven hundred forty-nine thousand, forty".