4678801920 has 640 divisors, whose sum is σ = 18478817280. Its totient is φ = 1114767360.

The previous prime is 4678801901. The next prime is 4678801969. The reversal of 4678801920 is 291088764.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 36840897 + ... + 36841023.

It is an arithmetic number, because the mean of its divisors is an integer number (28873152).

Almost surely, 2^4678801920 is an apocalyptic number.

4678801920 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 4678801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9239408640).

4678801920 is an abundant number, since it is smaller than the sum of its proper divisors (13800015360).

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

4678801920 is a wasteful number, since it uses less digits than its factorization.

4678801920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 4678801920 is about 68401.7683981927. The cubic root of 4678801920 is about 1672.5465731365.

The spelling of 4678801920 in words is "four billion, six hundred seventy-eight million, eight hundred one thousand, nine hundred twenty".