63867734112 has 768 divisors, whose sum is σ = 229345966080. Its totient is φ = 15086518272.

The previous prime is 63867734101. The next prime is 63867734123. The reversal of 63867734112 is 21143776836.

It is an interprime number because it is at equal distance from previous prime (63867734101) and next prime (63867734123).

It is a super-2 number, since 2×63867734112² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 324201598 + ... + 324201794.

It is an arithmetic number, because the mean of its divisors is an integer number (298627560).

Almost surely, 2^63867734112 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 63867734112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114672983040).

63867734112 is an abundant number, since it is smaller than the sum of its proper divisors (165478231968).

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

63867734112 is a wasteful number, since it uses less digits than its factorization.

63867734112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 335 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The spelling of 63867734112 in words is "sixty-three billion, eight hundred sixty-seven million, seven hundred thirty-four thousand, one hundred twelve".