160817793776640 has 8316 divisors, whose sum is σ = 819444449427912. Its totient is φ = 30128817438720.

The previous prime is 160817793776581. The next prime is 160817793776699. The reversal of 160817793776640 is 46677397718061.

160817793776640 is a `hidden beast` number, since 1 + 608 + 1 + 7 + 7 + 9 + 3 + 7 + 7 + 6 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (160817793776581) and next prime (160817793776699).

It is a tau number, because it is divible by the number of its divisors (8316).

It is a super-2 number, since 2×160817793776640² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 755 ways as a sum of consecutive naturals, for example, 3739948692459 + ... + 3739948692501.

It is an arithmetic number, because the mean of its divisors is an integer number (98538293582).

Almost surely, 2^{160817793776640} is an apocalyptic number.

160817793776640 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 160817793776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409722224713956).

160817793776640 is an abundant number, since it is smaller than the sum of its proper divisors (658626655651272).

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

160817793776640 is a wasteful number, since it uses less digits than its factorization.

160817793776640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 448084224, while the sum is 72.

The spelling of 160817793776640 in words is "one hundred sixty trillion, eight hundred seventeen billion, seven hundred ninety-three million, seven hundred seventy-six thousand, six hundred forty".