4795758489600 has 2496 divisors, whose sum is σ = 20271427545600. Its totient is φ = 1102876508160.

The previous prime is 4795758489589. The next prime is 4795758489607. The reversal of 4795758489600 is 69848575974.

4795758489600 is a `hidden beast` number, since 4 + 7 + 9 + 5 + 7 + 5 + 8 + 4 + 8 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4795758489607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44820172747 + ... + 44820172853.

Almost surely, 2^{4795758489600} is an apocalyptic number.

4795758489600 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 4795758489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10135713772800).

4795758489600 is an abundant number, since it is smaller than the sum of its proper divisors (15475669056000).

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

4795758489600 is a wasteful number, since it uses less digits than its factorization.

4795758489600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 4795758489600 in words is "four trillion, seven hundred ninety-five billion, seven hundred fifty-eight million, four hundred eighty-nine thousand, six hundred".