160640379900 has 1152 divisors, whose sum is σ = 708121344000. Its totient is φ = 30786739200.

The previous prime is 160640379899. The next prime is 160640379901. The reversal of 160640379900 is 9973046061.

160640379900 is a `hidden beast` number, since 1 + 606 + 4 + 0 + 37 + 9 + 9 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (160640379899) and next prime (160640379901).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160640379901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 132431694 + ... + 132432906.

Almost surely, 2^160640379900 is an apocalyptic number.

160640379900 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 160640379900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354060672000).

160640379900 is an abundant number, since it is smaller than the sum of its proper divisors (547480964100).

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

160640379900 is a wasteful number, since it uses less digits than its factorization.

160640379900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 160640379900 in words is "one hundred sixty billion, six hundred forty million, three hundred seventy-nine thousand, nine hundred".