4678892000 has 192 divisors, whose sum is σ = 12020037120. Its totient is φ = 1787904000.

The previous prime is 4678891979. The next prime is 4678892027. The reversal of 4678892000 is 2988764.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12027806 + ... + 12028194.

It is an arithmetic number, because the mean of its divisors is an integer number (62604360).

Almost surely, 2^4678892000 is an apocalyptic number.

4678892000 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 4678892000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6010018560).

4678892000 is an abundant number, since it is smaller than the sum of its proper divisors (7341145120).

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

4678892000 is a wasteful number, since it uses less digits than its factorization.

4678892000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The square root of 4678892000 is about 68402.4268575319. The cubic root of 4678892000 is about 1672.5573067980.

The spelling of 4678892000 in words is "four billion, six hundred seventy-eight million, eight hundred ninety-two thousand".