63761244216736 has 192 divisors, whose sum is σ = 140611592459520. Its totient is φ = 28214414991360.

The previous prime is 63761244216731. The next prime is 63761244216737.

It is a happy number.

63761244216736 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×63761244216736² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (63761244216731) 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, 6842064685 + ... + 6842074003.

It is an arithmetic number, because the mean of its divisors is an integer number (732352044060).

Almost surely, 2^{63761244216736} 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 63761244216736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70305796229760).

63761244216736 is an abundant number, since it is smaller than the sum of its proper divisors (76850348242784).

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

63761244216736 is a wasteful number, since it uses less digits than its factorization.

63761244216736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12207 (or 12199 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 58.

The spelling of 63761244216736 in words is "sixty-three trillion, seven hundred sixty-one billion, two hundred forty-four million, two hundred sixteen thousand, seven hundred thirty-six".