63947606091264 has 1920 divisors, whose sum is σ = 236883352780800. Its totient is φ = 16945021255680.

The previous prime is 63947606091227. The next prime is 63947606091301. The reversal of 63947606091264 is 46219060674936.

63947606091264 is a `hidden beast` number, since 6 + 3 + 9 + 4 + 7 + 6 + 0 + 609 + 12 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (63947606091227) and next prime (63947606091301).

It is a super-3 number, since 3×63947606091264³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 105350256849 + ... + 105350257455.

It is an arithmetic number, because the mean of its divisors is an integer number (123376746240).

Almost surely, 2^{63947606091264} is an apocalyptic number.

63947606091264 is a gapful number since it is divisible by the number (64) 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 63947606091264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118441676390400).

63947606091264 is an abundant number, since it is smaller than the sum of its proper divisors (172935746689536).

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

63947606091264 is a wasteful number, since it uses less digits than its factorization.

63947606091264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 63947606091264 in words is "sixty-three trillion, nine hundred forty-seven billion, six hundred six million, ninety-one thousand, two hundred sixty-four".