63676993476096 has 2880 divisors, whose sum is σ = 260334428530176. Its totient is φ = 14718645043200.

The previous prime is 63676993476091. The next prime is 63676993476121. The reversal of 63676993476096 is 69067439967636.

63676993476096 is a `hidden beast` number, since 6 + 36 + 76 + 99 + 347 + 6 + 0 + 96 = 666.

It is a super-3 number, since 3×63676993476096³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63676993476091) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 136353304855 + ... + 136353305321.

Almost surely, 2^{63676993476096} is an apocalyptic number.

63676993476096 is a gapful number since it is divisible by the number (66) 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 63676993476096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130167214265088).

63676993476096 is an abundant number, since it is smaller than the sum of its proper divisors (196657435054080).

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

63676993476096 is a wasteful number, since it uses less digits than its factorization.

63676993476096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 9999593856, while the sum is 81.

The spelling of 63676993476096 in words is "sixty-three trillion, six hundred seventy-six billion, nine hundred ninety-three million, four hundred seventy-six thousand, ninety-six".