4795009920 has 256 divisors, whose sum is σ = 17264520000. Its totient is φ = 1257431040.

The previous prime is 4795009913. The next prime is 4795009927. The reversal of 4795009920 is 299005974.

It is an interprime number because it is at equal distance from previous prime (4795009913) and next prime (4795009927).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4795009927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1051806 + ... + 1056354.

Almost surely, 2^4795009920 is an apocalyptic number.

4795009920 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 4795009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8632260000).

4795009920 is an abundant number, since it is smaller than the sum of its proper divisors (12469510080).

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

4795009920 is a wasteful number, since it uses less digits than its factorization.

4795009920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4638 (or 4620 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 4795009920 is about 69246.0101377689. The cubic root of 4795009920 is about 1686.2805728527.

The spelling of 4795009920 in words is "four billion, seven hundred ninety-five million, nine thousand, nine hundred twenty".