160249274640 has 2160 divisors, whose sum is σ = 762407631360. Its totient is φ = 30795448320.

The previous prime is 160249274621. The next prime is 160249274677. The reversal of 160249274640 is 46472942061.

160249274640 is a `hidden beast` number, since 160 + 2 + 4 + 9 + 27 + 464 + 0 = 666.

160249274640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×160249274640² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 5169331425 + ... + 5169331455.

It is an arithmetic number, because the mean of its divisors is an integer number (352966496).

Almost surely, 2^160249274640 is an apocalyptic number.

160249274640 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 160249274640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381203815680).

160249274640 is an abundant number, since it is smaller than the sum of its proper divisors (602158356720).

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

160249274640 is a wasteful number, since it uses less digits than its factorization.

160249274640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 160249274640 in words is "one hundred sixty billion, two hundred forty-nine million, two hundred seventy-four thousand, six hundred forty".