4713361920 has 640 divisors, whose sum is σ = 18286329600. Its totient is φ = 1146617856.

The previous prime is 4713361903. The next prime is 4713361931. The reversal of 4713361920 is 291633174.

4713361920 is a `hidden beast` number, since 4 + 7 + 1 + 33 + 619 + 2 + 0 = 666.

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 (36).

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, 48591312 + ... + 48591408.

It is an arithmetic number, because the mean of its divisors is an integer number (28572390).

Almost surely, 2^4713361920 is an apocalyptic number.

4713361920 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 4713361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9143164800).

4713361920 is an abundant number, since it is smaller than the sum of its proper divisors (13572967680).

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

4713361920 is a wasteful number, since it uses less digits than its factorization.

4713361920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 4713361920 is about 68653.9286567054. The cubic root of 4713361920 is about 1676.6545670537.

The spelling of 4713361920 in words is "four billion, seven hundred thirteen million, three hundred sixty-one thousand, nine hundred twenty".