63878744175840 has 768 divisors, whose sum is σ = 249553885271040. Its totient is φ = 15130790461440.

The previous prime is 63878744175839. The next prime is 63878744175847. The reversal of 63878744175840 is 4857144787836.

63878744175840 is a `hidden beast` number, since 6 + 3 + 8 + 78 + 7 + 441 + 75 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63878744175847) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 371092672 + ... + 371264768.

It is an arithmetic number, because the mean of its divisors is an integer number (324939954780).

Almost surely, 2^{63878744175840} is an apocalyptic number.

63878744175840 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 63878744175840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124776942635520).

63878744175840 is an abundant number, since it is smaller than the sum of its proper divisors (185675141095200).

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

63878744175840 is a wasteful number, since it uses less digits than its factorization.

63878744175840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172312 (or 172298 counting only the distinct ones).

The product of its (nonzero) digits is 1011548160, while the sum is 72.

The spelling of 63878744175840 in words is "sixty-three trillion, eight hundred seventy-eight billion, seven hundred forty-four million, one hundred seventy-five thousand, eight hundred forty".