63921396768768 has 1120 divisors, whose sum is σ = 245770441095168. Its totient is φ = 16066982707200.

The previous prime is 63921396768767. The next prime is 63921396768787. The reversal of 63921396768768 is 86786769312936.

63921396768768 is a `hidden beast` number, since 6 + 3 + 9 + 21 + 396 + 76 + 87 + 68 = 666.

It is a super-2 number, since 2×63921396768768² (a number of 28 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63921396768767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1583878446 + ... + 1583918802.

Almost surely, 2^{63921396768768} 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 63921396768768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122885220547584).

63921396768768 is an abundant number, since it is smaller than the sum of its proper divisors (181849044326400).

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

63921396768768 is a wasteful number, since it uses less digits than its factorization.

63921396768768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40444 (or 40411 counting only the distinct ones).

The product of its digits is 5925685248, while the sum is 81.

The spelling of 63921396768768 in words is "sixty-three trillion, nine hundred twenty-one billion, three hundred ninety-six million, seven hundred sixty-eight thousand, seven hundred sixty-eight".