63983202877440 has 5760 divisors, whose sum is σ = 316287006336000. Its totient is φ = 12207941222400.

The previous prime is 63983202877417. The next prime is 63983202877453. The reversal of 63983202877440 is 4477820238936.

63983202877440 is a `hidden beast` number, since 6 + 3 + 9 + 83 + 20 + 28 + 77 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1560565923820 + ... + 1560565923860.

It is an arithmetic number, because the mean of its divisors is an integer number (54910938600).

Almost surely, 2^{63983202877440} is an apocalyptic number.

63983202877440 is a gapful number since it is divisible by the number (60) 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 63983202877440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158143503168000).

63983202877440 is an abundant number, since it is smaller than the sum of its proper divisors (252303803458560).

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

63983202877440 is a wasteful number, since it uses less digits than its factorization.

63983202877440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 63983202877440 in words is "sixty-three trillion, nine hundred eighty-three billion, two hundred two million, eight hundred seventy-seven thousand, four hundred forty".