63768231072 has 1536 divisors, whose sum is σ = 266615193600. Its totient is φ = 14511882240.

The previous prime is 63768231071. The next prime is 63768231097. The reversal of 63768231072 is 27013286736.

63768231072 is a `hidden beast` number, since 637 + 6 + 8 + 2 + 3 + 1 + 0 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (63768231071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2057039697 + ... + 2057039727.

It is an arithmetic number, because the mean of its divisors is an integer number (173577600).

Almost surely, 2^63768231072 is an apocalyptic number.

63768231072 is a gapful number since it is divisible by the number (62) 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 63768231072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133307596800).

63768231072 is an abundant number, since it is smaller than the sum of its proper divisors (202846962528).

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

63768231072 is a wasteful number, since it uses less digits than its factorization.

63768231072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 63768231072 in words is "sixty-three billion, seven hundred sixty-eight million, two hundred thirty-one thousand, seventy-two".