4893937920 has 576 divisors, whose sum is σ = 18984672000. Its totient is φ = 1189085184.

The previous prime is 4893937879. The next prime is 4893937957. The reversal of 4893937920 is 297393984.

4893937920 is a `hidden beast` number, since 489 + 3 + 93 + 79 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 19042432 + ... + 19042688.

It is an arithmetic number, because the mean of its divisors is an integer number (32959500).

Almost surely, 2^4893937920 is an apocalyptic number.

4893937920 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 4893937920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9492336000).

4893937920 is an abundant number, since it is smaller than the sum of its proper divisors (14090734080).

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

4893937920 is a wasteful number, since it uses less digits than its factorization.

4893937920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 4893937920 is about 69956.6860278558. The cubic root of 4893937920 is about 1697.7985252092.

The spelling of 4893937920 in words is "four billion, eight hundred ninety-three million, nine hundred thirty-seven thousand, nine hundred twenty".