4738668480 has 1120 divisors, whose sum is σ = 21685910400. Its totient is φ = 975421440.

The previous prime is 4738668461. The next prime is 4738668511. The reversal of 4738668480 is 848668374.

It is a tau number, because it is divible by the number of its divisors (1120).

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 115577260 + ... + 115577300.

It is an arithmetic number, because the mean of its divisors is an integer number (19362420).

Almost surely, 2^4738668480 is an apocalyptic number.

4738668480 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 4738668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10842955200).

4738668480 is an abundant number, since it is smaller than the sum of its proper divisors (16947241920).

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

4738668480 is a wasteful number, since it uses less digits than its factorization.

4738668480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The square root of 4738668480 is about 68837.9871873081. The cubic root of 4738668480 is about 1679.6499270580.

The spelling of 4738668480 in words is "four billion, seven hundred thirty-eight million, six hundred sixty-eight thousand, four hundred eighty".