4817764000 has 192 divisors, whose sum is σ = 14118354432. Its totient is φ = 1579776000.

The previous prime is 4817763961. The next prime is 4817764009. The reversal of 4817764000 is 4677184.

It is not an unprimeable number, because it can be changed into a prime (4817764009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 640260 + ... + 647740.

It is an arithmetic number, because the mean of its divisors is an integer number (73533096).

Almost surely, 2^4817764000 is an apocalyptic number.

4817764000 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 4817764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7059177216).

4817764000 is an abundant number, since it is smaller than the sum of its proper divisors (9300590432).

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

4817764000 is a wasteful number, since it uses less digits than its factorization.

4817764000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7536 (or 7518 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 4817764000 is about 69410.1145367158. The cubic root of 4817764000 is about 1688.9437046177.

The spelling of 4817764000 in words is "four billion, eight hundred seventeen million, seven hundred sixty-four thousand".