4768620480 has 336 divisors, whose sum is σ = 17936833824. Its totient is φ = 1155686400.

The previous prime is 4768620469. The next prime is 4768620557. The reversal of 4768620480 is 840268674.

4768620480 is a `hidden beast` number, since 4 + 76 + 86 + 20 + 480 = 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 47 ways as a sum of consecutive naturals, for example, 2507530 + ... + 2509430.

It is an arithmetic number, because the mean of its divisors is an integer number (53383434).

Almost surely, 2^4768620480 is an apocalyptic number.

4768620480 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 4768620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8968416912).

4768620480 is an abundant number, since it is smaller than the sum of its proper divisors (13168213344).

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

4768620480 is a wasteful number, since it uses less digits than its factorization.

4768620480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004 (or 1991 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 4768620480 is about 69055.1987905328. The cubic root of 4768620480 is about 1683.1813866269.

The spelling of 4768620480 in words is "four billion, seven hundred sixty-eight million, six hundred twenty thousand, four hundred eighty".