162400682660 has 72 divisors (see below), whose sum is σ = 361823343336. Its totient is φ = 61190241280.

The previous prime is 162400682659. The next prime is 162400682663. The reversal of 162400682660 is 66286004261.

It can be written as a sum of positive squares in 12 ways, for example, as 113482744384 + 48917938276 = 336872^2 + 221174^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (162400682663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 571874 + ... + 807366.

It is an arithmetic number, because the mean of its divisors is an integer number (5025324213).

Almost surely, 2^162400682660 is an apocalyptic number.

162400682660 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 162400682660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180911671668).

162400682660 is an abundant number, since it is smaller than the sum of its proper divisors (199422660676).

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

162400682660 is a wasteful number, since it uses less digits than its factorization.

162400682660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235601 (or 235570 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The spelling of 162400682660 in words is "one hundred sixty-two billion, four hundred million, six hundred eighty-two thousand, six hundred sixty".