63676949409216 has 672 divisors, whose sum is σ = 223930130231808. Its totient is φ = 17023613460480.

The previous prime is 63676949409211. The next prime is 63676949409251. The reversal of 63676949409216 is 61290494967636.

63676949409216 is a `hidden beast` number, since 6 + 3 + 67 + 69 + 494 + 0 + 9 + 2 + 16 = 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 (63676949409211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2476051590 + ... + 2476077306.

It is an arithmetic number, because the mean of its divisors is an integer number (333229360464).

Almost surely, 2^{63676949409216} is an apocalyptic number.

63676949409216 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 63676949409216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111965065115904).

63676949409216 is an abundant number, since it is smaller than the sum of its proper divisors (160253180822592).

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

63676949409216 is a wasteful number, since it uses less digits than its factorization.

63676949409216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27089 (or 27076 counting only the distinct ones).

The product of its (nonzero) digits is 634894848, while the sum is 72.

The spelling of 63676949409216 in words is "sixty-three trillion, six hundred seventy-six billion, nine hundred forty-nine million, four hundred nine thousand, two hundred sixteen".