162084407680 has 512 divisors, whose sum is σ = 456009523200. Its totient is φ = 54597058560.

The previous prime is 162084407669. The next prime is 162084407701. The reversal of 162084407680 is 86704480261.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 162084407680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 527962087 + ... + 527962393.

It is an arithmetic number, because the mean of its divisors is an integer number (890643600).

Almost surely, 2^162084407680 is an apocalyptic number.

162084407680 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 162084407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228004761600).

162084407680 is an abundant number, since it is smaller than the sum of its proper divisors (293925115520).

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

162084407680 is a wasteful number, since it uses less digits than its factorization.

162084407680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The spelling of 162084407680 in words is "one hundred sixty-two billion, eighty-four million, four hundred seven thousand, six hundred eighty".