63390872160 has 960 divisors, whose sum is σ = 281541173760. Its totient is φ = 13048750080.

The previous prime is 63390872159. The next prime is 63390872173. The reversal of 63390872160 is 6127809336.

63390872160 is a `hidden beast` number, since 633 + 9 + 0 + 8 + 7 + 2 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 138710652 + ... + 138711108.

It is an arithmetic number, because the mean of its divisors is an integer number (293272056).

Almost surely, 2^63390872160 is an apocalyptic number.

63390872160 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 63390872160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140770586880).

63390872160 is an abundant number, since it is smaller than the sum of its proper divisors (218150301600).

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

63390872160 is a wasteful number, since it uses less digits than its factorization.

63390872160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 63390872160 in words is "sixty-three billion, three hundred ninety million, eight hundred seventy-two thousand, one hundred sixty".