4663764000 has 768 divisors, whose sum is σ = 20127744000. Its totient is φ = 1026432000.

The previous prime is 4663763999. The next prime is 4663764011. The reversal of 4663764000 is 4673664.

4663764000 is a `hidden beast` number, since 4 + 6 + 6 + 3 + 7 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23435901 + ... + 23436099.

It is an arithmetic number, because the mean of its divisors is an integer number (26208000).

Almost surely, 2^4663764000 is an apocalyptic number.

4663764000 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 4663764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10063872000).

4663764000 is an abundant number, since it is smaller than the sum of its proper divisors (15463980000).

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

4663764000 is a wasteful number, since it uses less digits than its factorization.

4663764000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 4663764000 is about 68291.7564571303. The cubic root of 4663764000 is about 1670.7527652037.

The spelling of 4663764000 in words is "four billion, six hundred sixty-three million, seven hundred sixty-four thousand".