160397677440 has 1920 divisors, whose sum is σ = 777670407360. Its totient is φ = 30656102400.

The previous prime is 160397677439. The next prime is 160397677441. The reversal of 160397677440 is 44776793061.

160397677440 is a `hidden beast` number, since 1 + 60 + 3 + 9 + 76 + 77 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (160397677439) and next prime (160397677441).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160397677441) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 570810100 + ... + 570810380.

Almost surely, 2^160397677440 is an apocalyptic number.

160397677440 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 160397677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388835203680).

160397677440 is an abundant number, since it is smaller than the sum of its proper divisors (617272729920).

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

160397677440 is a wasteful number, since it uses less digits than its factorization.

160397677440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 160397677440 in words is "one hundred sixty billion, three hundred ninety-seven million, six hundred seventy-seven thousand, four hundred forty".