161330732640 has 2016 divisors, whose sum is σ = 759621639168. Its totient is φ = 31614105600.

The previous prime is 161330732609. The next prime is 161330732653. The reversal of 161330732640 is 46237033161.

161330732640 is a `hidden beast` number, since 1 + 6 + 1 + 3 + 3 + 0 + 7 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×161330732640² (a number of 23 digits) contains 22 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 = 161330732595 and 161330732604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 2272263805 + ... + 2272263875.

It is an arithmetic number, because the mean of its divisors is an integer number (376796448).

Almost surely, 2^161330732640 is an apocalyptic number.

161330732640 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 161330732640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379810819584).

161330732640 is an abundant number, since it is smaller than the sum of its proper divisors (598290906528).

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

161330732640 is a wasteful number, since it uses less digits than its factorization.

161330732640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 161330732640 in words is "one hundred sixty-one billion, three hundred thirty million, seven hundred thirty-two thousand, six hundred forty".