4663602240 has 224 divisors, whose sum is σ = 16206825600. Its totient is φ = 1126809600.

The previous prime is 4663602191. The next prime is 4663602241. The reversal of 4663602240 is 422063664.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (4663602241) 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, 4445236 + ... + 4446284.

It is an arithmetic number, because the mean of its divisors is an integer number (72351900).

Almost surely, 2^4663602240 is an apocalyptic number.

4663602240 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 4663602240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8103412800).

4663602240 is an abundant number, since it is smaller than the sum of its proper divisors (11543223360).

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

4663602240 is a wasteful number, since it uses less digits than its factorization.

4663602240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 4663602240 is about 68290.5721165081. The cubic root of 4663602240 is about 1670.7334486108.

The spelling of 4663602240 in words is "four billion, six hundred sixty-three million, six hundred two thousand, two hundred forty".