4663765440 has 168 divisors, whose sum is σ = 16085759040. Its totient is φ = 1240233984.

The previous prime is 4663765387. The next prime is 4663765487. The reversal of 4663765440 is 445673664.

It is a happy number.

4663765440 is a `hidden beast` number, since 4 + 6 + 637 + 6 + 5 + 4 + 4 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1141321 + ... + 1145399.

Almost surely, 2^4663765440 is an apocalyptic number.

4663765440 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 4663765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8042879520).

4663765440 is an abundant number, since it is smaller than the sum of its proper divisors (11421993600).

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

4663765440 is a wasteful number, since it uses less digits than its factorization.

4663765440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4499 (or 4486 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The square root of 4663765440 is about 68291.7670001297. The cubic root of 4663765440 is about 1670.7529371595.

The spelling of 4663765440 in words is "four billion, six hundred sixty-three million, seven hundred sixty-five thousand, four hundred forty".