4820835009600 has 1323 divisors, whose sum is σ = 18947663604597. Its totient is φ = 1206512962560.

The previous prime is 4820835009583. The next prime is 4820835009637. The reversal of 4820835009600 is 69005380284.

The square root of 4820835009600 is 2195640.

It is a perfect power (a square), and thus also a powerful number.

4820835009600 is a `hidden beast` number, since 4 + 8 + 2 + 0 + 8 + 35 + 0 + 0 + 9 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1735500603456 + 3085334406144 = 1317384^2 + 1756512^2 .

It is a super-3 number, since 3×4820835009600³ (a number of 39 digits) contains 333 as substring.

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 188 ways as a sum of consecutive naturals, for example, 45054532747 + ... + 45054532853.

Almost surely, 2^{4820835009600} is an apocalyptic number.

4820835009600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4820835009600 is the 2195640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4820835009600

4820835009600 is an abundant number, since it is smaller than the sum of its proper divisors (14126828594997).

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

4820835009600 is an equidigital number, since it uses as much as digits as its factorization.

4820835009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 4820835009600 in words is "four trillion, eight hundred twenty billion, eight hundred thirty-five million, nine thousand, six hundred".