63431970804384 has 768 divisors, whose sum is σ = 212714127360000. Its totient is φ = 16443410780160.

The previous prime is 63431970804379. The next prime is 63431970804413. The reversal of 63431970804384 is 48340807913436.

It is a super-2 number, since 2×63431970804384² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7744101729 + ... + 7744109919.

It is an arithmetic number, because the mean of its divisors is an integer number (276971520000).

Almost surely, 2^{63431970804384} 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 63431970804384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106357063680000).

63431970804384 is an abundant number, since it is smaller than the sum of its proper divisors (149282156555616).

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

63431970804384 is a wasteful number, since it uses less digits than its factorization.

63431970804384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8546 (or 8524 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 60.

The spelling of 63431970804384 in words is "sixty-three trillion, four hundred thirty-one billion, nine hundred seventy million, eight hundred four thousand, three hundred eighty-four".