4663229760 has 672 divisors, whose sum is σ = 19514027520. Its totient is φ = 999161856.

The previous prime is 4663229743. The next prime is 4663229771. The reversal of 4663229760 is 679223664.

4663229760 is a `hidden beast` number, since 4 + 6 + 632 + 2 + 9 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41267464 + ... + 41267576.

Almost surely, 2^4663229760 is an apocalyptic number.

4663229760 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 4663229760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9757013760).

4663229760 is an abundant number, since it is smaller than the sum of its proper divisors (14850797760).

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

4663229760 is a wasteful number, since it uses less digits than its factorization.

4663229760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 4663229760 is about 68287.8448920450. The cubic root of 4663229760 is about 1670.6889671612.

The spelling of 4663229760 in words is "four billion, six hundred sixty-three million, two hundred twenty-nine thousand, seven hundred sixty".