4768611520 has 224 divisors, whose sum is σ = 12581412480. Its totient is φ = 1713438720.

The previous prime is 4768611481. The next prime is 4768611527. The reversal of 4768611520 is 251168674.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (4768611527) 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, 26345830 + ... + 26346010.

It is an arithmetic number, because the mean of its divisors is an integer number (56167020).

Almost surely, 2^4768611520 is an apocalyptic number.

4768611520 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 4768611520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6290706240).

4768611520 is an abundant number, since it is smaller than the sum of its proper divisors (7812800960).

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

4768611520 is a wasteful number, since it uses less digits than its factorization.

4768611520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 4768611520 is about 69055.1339148654. The cubic root of 4768611520 is about 1683.1803324216.

The spelling of 4768611520 in words is "four billion, seven hundred sixty-eight million, six hundred eleven thousand, five hundred twenty".