162732810240 has 2240 divisors, whose sum is σ = 799280697600. Its totient is φ = 31213486080.

The previous prime is 162732810223. The next prime is 162732810241. The reversal of 162732810240 is 42018237261.

It is a happy number.

162732810240 is a `hidden beast` number, since 1 + 627 + 3 + 2 + 8 + 1 + 0 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-5 number, since 5×162732810240⁵ (a number of 57 digits) contains 55555 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 162732810195 and 162732810204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162732810241) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 12517908474 + ... + 12517908486.

It is an arithmetic number, because the mean of its divisors is an integer number (356821740).

Almost surely, 2^162732810240 is an apocalyptic number.

162732810240 is a gapful number since it is divisible by the number (10) 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 162732810240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399640348800).

162732810240 is an abundant number, since it is smaller than the sum of its proper divisors (636547887360).

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

162732810240 is an equidigital number, since it uses as much as digits as its factorization.

162732810240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 162732810240 in words is "one hundred sixty-two billion, seven hundred thirty-two million, eight hundred ten thousand, two hundred forty".