63451808976864 has 384 divisors, whose sum is σ = 208991487688704. Its totient is φ = 16375613184000.

The previous prime is 63451808976839. The next prime is 63451808976869. The reversal of 63451808976864 is 46867980815436.

63451808976864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×63451808976864² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63451808976869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 946711674 + ... + 946778694.

It is an arithmetic number, because the mean of its divisors is an integer number (544248665856).

Almost surely, 2^{63451808976864} 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 63451808976864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104495743844352).

63451808976864 is an abundant number, since it is smaller than the sum of its proper divisors (145539678711840).

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

63451808976864 is a wasteful number, since it uses less digits than its factorization.

63451808976864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67870 (or 67862 counting only the distinct ones).

The product of its (nonzero) digits is 1672151040, while the sum is 75.

The spelling of 63451808976864 in words is "sixty-three trillion, four hundred fifty-one billion, eight hundred eight million, nine hundred seventy-six thousand, eight hundred sixty-four".