161867740320 has 1296 divisors, whose sum is σ = 688906632960. Its totient is φ = 34502307840.

The previous prime is 161867740303. The next prime is 161867740417. The reversal of 161867740320 is 23047768161.

161867740320 is a `hidden beast` number, since 1 + 618 + 6 + 7 + 7 + 4 + 0 + 3 + 20 = 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 215 ways as a sum of consecutive naturals, for example, 677270761 + ... + 677270999.

It is an arithmetic number, because the mean of its divisors is an integer number (531563760).

Almost surely, 2^161867740320 is an apocalyptic number.

161867740320 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 161867740320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344453316480).

161867740320 is an abundant number, since it is smaller than the sum of its proper divisors (527038892640).

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

161867740320 is a wasteful number, since it uses less digits than its factorization.

161867740320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 161867740320 in words is "one hundred sixty-one billion, eight hundred sixty-seven million, seven hundred forty thousand, three hundred twenty".