63778625732448 has 384 divisors, whose sum is σ = 213635819174400. Its totient is φ = 18307665100800.

The previous prime is 63778625732443. The next prime is 63778625732453. The reversal of 63778625732448 is 84423752687736.

63778625732448 is a `hidden beast` number, since 6 + 3 + 7 + 7 + 8 + 6 + 2 + 573 + 2 + 4 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (63778625732443) and next prime (63778625732453).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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 (63778625732441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2773816440 + ... + 2773839432.

It is an arithmetic number, because the mean of its divisors is an integer number (556343279100).

Almost surely, 2^{63778625732448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63778625732448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106817909587200).

63778625732448 is an abundant number, since it is smaller than the sum of its proper divisors (149857193441952).

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

63778625732448 is a wasteful number, since it uses less digits than its factorization.

63778625732448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38403 (or 38389 counting only the distinct ones).

The product of its digits is 2275983360, while the sum is 72.

The spelling of 63778625732448 in words is "sixty-three trillion, seven hundred seventy-eight billion, six hundred twenty-five million, seven hundred thirty-two thousand, four hundred forty-eight".