4657836000 has 192 divisors, whose sum is σ = 15380741376. Its totient is φ = 1232192000.

The previous prime is 4657835977. The next prime is 4657836017. The reversal of 4657836000 is 6387564.

It is a self number, because there is not a number n which added to its sum of digits gives 4657836000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1570519 + ... + 1573481.

It is an arithmetic number, because the mean of its divisors is an integer number (80108028).

Almost surely, 2^4657836000 is an apocalyptic number.

4657836000 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 4657836000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7690370688).

4657836000 is an abundant number, since it is smaller than the sum of its proper divisors (10722905376).

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

4657836000 is a wasteful number, since it uses less digits than its factorization.

4657836000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3122 (or 3104 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 4657836000 is about 68248.3406391687. The cubic root of 4657836000 is about 1670.0445803056.

The spelling of 4657836000 in words is "four billion, six hundred fifty-seven million, eight hundred thirty-six thousand".