4764844000 has 192 divisors, whose sum is σ = 13473008640. Its totient is φ = 1622284800.

The previous prime is 4764843983. The next prime is 4764844037. The reversal of 4764844000 is 4484674.

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, 4675491 + ... + 4676509.

It is an arithmetic number, because the mean of its divisors is an integer number (70171920).

Almost surely, 2^4764844000 is an apocalyptic number.

4764844000 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 4764844000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6736504320).

4764844000 is an abundant number, since it is smaller than the sum of its proper divisors (8708164640).

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

4764844000 is a wasteful number, since it uses less digits than its factorization.

4764844000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 37.

The square root of 4764844000 is about 69027.8494522320. The cubic root of 4764844000 is about 1682.7369408586.

The spelling of 4764844000 in words is "four billion, seven hundred sixty-four million, eight hundred forty-four thousand".