63873117000 has 1920 divisors, whose sum is σ = 301260960000. Its totient is φ = 12573792000.

The previous prime is 63873116987. The next prime is 63873117013. The reversal of 63873117000 is 71137836.

63873117000 is a `hidden beast` number, since 638 + 7 + 3 + 1 + 17 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (63873116987) and next prime (63873117013).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 479 ways as a sum of consecutive naturals, for example, 3361742991 + ... + 3361743009.

It is an arithmetic number, because the mean of its divisors is an integer number (156906750).

Almost surely, 2^63873117000 is an apocalyptic number.

63873117000 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 63873117000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150630480000).

63873117000 is an abundant number, since it is smaller than the sum of its proper divisors (237387843000).

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

63873117000 is a wasteful number, since it uses less digits than its factorization.

63873117000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 63873117000 in words is "sixty-three billion, eight hundred seventy-three million, one hundred seventeen thousand".