63158261760 has 768 divisors, whose sum is σ = 258043968000. Its totient is φ = 14491975680.

The previous prime is 63158261737. The next prime is 63158261821. The reversal of 63158261760 is 6716285136.

63158261760 is a `hidden beast` number, since 6 + 3 + 1 + 582 + 6 + 1 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57783774 + ... + 57784866.

It is an arithmetic number, because the mean of its divisors is an integer number (335994750).

Almost surely, 2^63158261760 is an apocalyptic number.

63158261760 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 63158261760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129021984000).

63158261760 is an abundant number, since it is smaller than the sum of its proper divisors (194885706240).

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

63158261760 is a wasteful number, since it uses less digits than its factorization.

63158261760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 63158261760 in words is "sixty-three billion, one hundred fifty-eight million, two hundred sixty-one thousand, seven hundred sixty".