4787975577600 has 2016 divisors, whose sum is σ = 19166883240960. Its totient is φ = 1181865738240.

The previous prime is 4787975577589. The next prime is 4787975577607. The reversal of 4787975577600 is 67755797874.

4787975577600 is a `hidden beast` number, since 4 + 7 + 8 + 7 + 9 + 7 + 5 + 5 + 7 + 7 + 600 = 666.

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 (4787975577607) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 53797478356 + ... + 53797478444.

It is an arithmetic number, because the mean of its divisors is an integer number (9507382560).

Almost surely, 2^{4787975577600} is an apocalyptic number.

4787975577600 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 4787975577600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9583441620480).

4787975577600 is an abundant number, since it is smaller than the sum of its proper divisors (14378907663360).

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

4787975577600 is an equidigital number, since it uses as much as digits as its factorization.

4787975577600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 726062400, while the sum is 72.

The spelling of 4787975577600 in words is "four trillion, seven hundred eighty-seven billion, nine hundred seventy-five million, five hundred seventy-seven thousand, six hundred".