4678974720 has 648 divisors, whose sum is σ = 19592917344. Its totient is φ = 1065996288.

The previous prime is 4678974701. The next prime is 4678974733. The reversal of 4678974720 is 274798764.

It is a tau number, because it is divible by the number of its divisors (648).

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 71 ways as a sum of consecutive naturals, for example, 15240807 + ... + 15241113.

Almost surely, 2^4678974720 is an apocalyptic number.

4678974720 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 4678974720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9796458672).

4678974720 is an abundant number, since it is smaller than the sum of its proper divisors (14913942624).

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

4678974720 is an equidigital number, since it uses as much as digits as its factorization.

4678974720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The square root of 4678974720 is about 68403.0315117685. The cubic root of 4678974720 is about 1672.5671633428.

The spelling of 4678974720 in words is "four billion, six hundred seventy-eight million, nine hundred seventy-four thousand, seven hundred twenty".