4735393920 has 256 divisors, whose sum is σ = 17163907200. Its totient is φ = 1233211392.

The previous prime is 4735393841. The next prime is 4735393931. The reversal of 4735393920 is 293935374.

4735393920 is a `hidden beast` number, since 473 + 5 + 3 + 93 + 92 + 0 = 666.

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

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, 739854 + ... + 746226.

Almost surely, 2^4735393920 is an apocalyptic number.

4735393920 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 4735393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8581953600).

4735393920 is an abundant number, since it is smaller than the sum of its proper divisors (12428513280).

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

4735393920 is a wasteful number, since it uses less digits than its factorization.

4735393920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6444 (or 6426 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The square root of 4735393920 is about 68814.1985348954. The cubic root of 4735393920 is about 1679.2629419876.

The spelling of 4735393920 in words is "four billion, seven hundred thirty-five million, three hundred ninety-three thousand, nine hundred twenty".