4623937920 has 768 divisors, whose sum is σ = 19646668800. Its totient is φ = 1024192512.

The previous prime is 4623937889. The next prime is 4623937957. The reversal of 4623937920 is 297393264.

4623937920 is a `hidden beast` number, since 46 + 239 + 379 + 2 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 36408897 + ... + 36409023.

It is an arithmetic number, because the mean of its divisors is an integer number (25581600).

Almost surely, 2^4623937920 is an apocalyptic number.

4623937920 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 4623937920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9823334400).

4623937920 is an abundant number, since it is smaller than the sum of its proper divisors (15022730880).

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

4623937920 is a wasteful number, since it uses less digits than its factorization.

4623937920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 4623937920 is about 67999.5435278797. The cubic root of 4623937920 is about 1665.9833814222.

The spelling of 4623937920 in words is "four billion, six hundred twenty-three million, nine hundred thirty-seven thousand, nine hundred twenty".