63765566556736 has 224 divisors, whose sum is σ = 151205184877824. Its totient is φ = 26350510080000.

The previous prime is 63765566556697. The next prime is 63765566556737.

63765566556736 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (63765566556737) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48916165 + ... + 50202811.

It is an arithmetic number, because the mean of its divisors is an integer number (675023146776).

Almost surely, 2^{63765566556736} 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 63765566556736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75602592438912).

63765566556736 is an abundant number, since it is smaller than the sum of its proper divisors (87439618321088).

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

63765566556736 is a wasteful number, since it uses less digits than its factorization.

63765566556736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286829 (or 1286819 counting only the distinct ones).

The product of its digits is 12859560000, while the sum is 76.

The spelling of 63765566556736 in words is "sixty-three trillion, seven hundred sixty-five billion, five hundred sixty-six million, five hundred fifty-six thousand, seven hundred thirty-six".