48632261760 has 256 divisors, whose sum is σ = 182372083200. Its totient is φ = 12205670400.

The previous prime is 48632261719. The next prime is 48632261771. The reversal of 48632261760 is 6716223684.

48632261760 is a `hidden beast` number, since 4 + 8 + 6 + 3 + 22 + 617 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210985 + ... + 376535.

It is an arithmetic number, because the mean of its divisors is an integer number (712390950).

Almost surely, 2^48632261760 is an apocalyptic number.

48632261760 is a gapful number since it is divisible by the number (40) 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 48632261760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91186041600).

48632261760 is an abundant number, since it is smaller than the sum of its proper divisors (133739821440).

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

48632261760 is a wasteful number, since it uses less digits than its factorization.

48632261760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165596 (or 165578 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 48632261760 in words is "forty-eight billion, six hundred thirty-two million, two hundred sixty-one thousand, seven hundred sixty".