4678131360 has 384 divisors, whose sum is σ = 17898209280. Its totient is φ = 1003290624.

The previous prime is 4678131347. The next prime is 4678131373. The reversal of 4678131360 is 631318764.

It is an interprime number because it is at equal distance from previous prime (4678131347) and next prime (4678131373).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8107392 + ... + 8107968.

It is an arithmetic number, because the mean of its divisors is an integer number (46609920).

Almost surely, 2^4678131360 is an apocalyptic number.

4678131360 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 4678131360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8949104640).

4678131360 is an abundant number, since it is smaller than the sum of its proper divisors (13220077920).

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

4678131360 is a wasteful number, since it uses less digits than its factorization.

4678131360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 4678131360 is about 68396.8665948960. The cubic root of 4678131360 is about 1672.4666668961.

The spelling of 4678131360 in words is "four billion, six hundred seventy-eight million, one hundred thirty-one thousand, three hundred sixty".