4160192680 has 256 divisors, whose sum is σ = 11602828800. Its totient is φ = 1312174080.

The previous prime is 4160192669. The next prime is 4160192711. The reversal of 4160192680 is 862910614.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18326727 + ... + 18326953.

It is an arithmetic number, because the mean of its divisors is an integer number (45323550).

Almost surely, 2^4160192680 is an apocalyptic number.

4160192680 is a gapful number since it is divisible by the number (40) 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 4160192680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5801414400).

4160192680 is an abundant number, since it is smaller than the sum of its proper divisors (7442636120).

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

4160192680 is a wasteful number, since it uses less digits than its factorization.

4160192680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 4160192680 is about 64499.5556573842. Note that the first 3 decimals coincide. The cubic root of 4160192680 is about 1608.3151336112.

The spelling of 4160192680 in words is "four billion, one hundred sixty million, one hundred ninety-two thousand, six hundred eighty".