4187973160 has 96 divisors (see below), whose sum is σ = 11538396000. Its totient is φ = 1360291968.

The previous prime is 4187973107. The next prime is 4187973203. The reversal of 4187973160 is 613797814.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4187973160.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18990 + ... + 93469.

It is an arithmetic number, because the mean of its divisors is an integer number (120191625).

Almost surely, 2^4187973160 is an apocalyptic number.

4187973160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4187973160 is an abundant number, since it is smaller than the sum of its proper divisors (7350422840).

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

4187973160 is a wasteful number, since it uses less digits than its factorization.

4187973160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112503 (or 112492 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 46.

The square root of 4187973160 is about 64714.5513775689. The cubic root of 4187973160 is about 1611.8871381309.

The spelling of 4187973160 in words is "four billion, one hundred eighty-seven million, nine hundred seventy-three thousand, one hundred sixty".