4795718400 has 810 divisors, whose sum is σ = 20033985972. Its totient is φ = 1122508800.

The previous prime is 4795718399. The next prime is 4795718401. The reversal of 4795718400 is 48175974.

It is a happy number.

4795718400 is a `hidden beast` number, since 4 + 79 + 571 + 8 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4795718399) and next prime (4795718401).

It is a tau number, because it is divible by the number of its divisors (810).

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

It is not an unprimeable number, because it can be changed into a prime (4795718401) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 165369586 + ... + 165369614.

Almost surely, 2^4795718400 is an apocalyptic number.

4795718400 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 4795718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10016992986).

4795718400 is an abundant number, since it is smaller than the sum of its proper divisors (15238267572).

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

4795718400 is a wasteful number, since it uses less digits than its factorization.

4795718400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 4795718400 is about 69251.1256226207. The cubic root of 4795718400 is about 1686.3636201070.

The spelling of 4795718400 in words is "four billion, seven hundred ninety-five million, seven hundred eighteen thousand, four hundred".