4873690000 has 200 divisors, whose sum is σ = 12585846240. Its totient is φ = 1822464000.

The previous prime is 4873689979. The next prime is 4873690001. The reversal of 4873690000 is 963784.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×4873690000² = 47505708432200000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4873690001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21469887 + ... + 21470113.

Almost surely, 2^4873690000 is an apocalyptic number.

4873690000 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 4873690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6292923120).

4873690000 is an abundant number, since it is smaller than the sum of its proper divisors (7712156240).

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

4873690000 is a wasteful number, since it uses less digits than its factorization.

4873690000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 4873690000 is about 69811.8184836923. The cubic root of 4873690000 is about 1695.4538280037.

The spelling of 4873690000 in words is "four billion, eight hundred seventy-three million, six hundred ninety thousand".