63984977090496 has 1344 divisors, whose sum is σ = 243251850117120. Its totient is φ = 15577968107520.

The previous prime is 63984977090453. The next prime is 63984977090539. The reversal of 63984977090496 is 69409077948936.

63984977090496 is a `hidden beast` number, since 6 + 39 + 8 + 4 + 9 + 7 + 7 + 0 + 90 + 496 = 666.

It is an interprime number because it is at equal distance from previous prime (63984977090453) and next prime (63984977090539).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58540692126 + ... + 58540693218.

Almost surely, 2^{63984977090496} is an apocalyptic number.

63984977090496 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63984977090496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121625925058560).

63984977090496 is an abundant number, since it is smaller than the sum of its proper divisors (179266873026624).

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

63984977090496 is a wasteful number, since it uses less digits than its factorization.

63984977090496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 4444263936, while the sum is 81.

The spelling of 63984977090496 in words is "sixty-three trillion, nine hundred eighty-four billion, nine hundred seventy-seven million, ninety thousand, four hundred ninety-six".