160779709440 has 792 divisors, whose sum is σ = 669248341632. Its totient is φ = 35548692480.

The previous prime is 160779709399. The next prime is 160779709451. The reversal of 160779709440 is 44907977061.

160779709440 is a `hidden beast` number, since 1 + 60 + 7 + 79 + 70 + 9 + 440 = 666.

It is a super-2 number, since 2×160779709440² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69994372 + ... + 69996668.

Almost surely, 2^160779709440 is an apocalyptic number.

160779709440 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 160779709440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334624170816).

160779709440 is an abundant number, since it is smaller than the sum of its proper divisors (508468632192).

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

160779709440 is a wasteful number, since it uses less digits than its factorization.

160779709440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2373 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 160779709440 in words is "one hundred sixty billion, seven hundred seventy-nine million, seven hundred nine thousand, four hundred forty".