63977072666976 has 1728 divisors, whose sum is σ = 229823770176000. Its totient is φ = 17442583732224.

The previous prime is 63977072666971. The next prime is 63977072666977. The reversal of 63977072666976 is 67966627077936.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 63977072666895 and 63977072666904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63977072666971) 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, 178209115885 + ... + 178209116243.

It is an arithmetic number, because the mean of its divisors is an integer number (132999867000).

Almost surely, 2^{63977072666976} 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 63977072666976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114911885088000).

63977072666976 is an abundant number, since it is smaller than the sum of its proper divisors (165846697509024).

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

63977072666976 is a wasteful number, since it uses less digits than its factorization.

63977072666976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 9073705536, while the sum is 81.

The spelling of 63977072666976 in words is "sixty-three trillion, nine hundred seventy-seven billion, seventy-two million, six hundred sixty-six thousand, nine hundred seventy-six".