4688772480 has 768 divisors, whose sum is σ = 19781798400. Its totient is φ = 1039122432.

The previous prime is 4688772469. The next prime is 4688772509. The reversal of 4688772480 is 842778864.

It is a happy number.

4688772480 is a `hidden beast` number, since 468 + 87 + 7 + 24 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 64229724 + ... + 64229796.

It is an arithmetic number, because the mean of its divisors is an integer number (25757550).

Almost surely, 2^4688772480 is an apocalyptic number.

4688772480 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 4688772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9890899200).

4688772480 is an abundant number, since it is smaller than the sum of its proper divisors (15093025920).

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

4688772480 is an equidigital number, since it uses as much as digits as its factorization.

4688772480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The square root of 4688772480 is about 68474.6119375641. The cubic root of 4688772480 is about 1673.7337997336.

The spelling of 4688772480 in words is "four billion, six hundred eighty-eight million, seven hundred seventy-two thousand, four hundred eighty".