4765393920 has 704 divisors, whose sum is σ = 19016073216. Its totient is φ = 994836480.

The previous prime is 4765393909. The next prime is 4765393939. The reversal of 4765393920 is 293935674.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4765393920.

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, 101391337 + ... + 101391383.

Almost surely, 2^4765393920 is an apocalyptic number.

4765393920 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 4765393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9508036608).

4765393920 is an abundant number, since it is smaller than the sum of its proper divisors (14250679296).

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

4765393920 is a wasteful number, since it uses less digits than its factorization.

4765393920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 48.

The square root of 4765393920 is about 69031.8326571155. The cubic root of 4765393920 is about 1682.8016743596.

The spelling of 4765393920 in words is "four billion, seven hundred sixty-five million, three hundred ninety-three thousand, nine hundred twenty".