4775265976320 has 1440 divisors, whose sum is σ = 20168534131200. Its totient is φ = 1042761646080.

The previous prime is 4775265976307. The next prime is 4775265976363. The reversal of 4775265976320 is 236795625774.

It is a happy number.

4775265976320 is a `hidden beast` number, since 4 + 7 + 7 + 5 + 2 + 6 + 597 + 6 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5816401510 + ... + 5816402330.

It is an arithmetic number, because the mean of its divisors is an integer number (14005926480).

Almost surely, 2^{4775265976320} is an apocalyptic number.

4775265976320 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 4775265976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10084267065600).

4775265976320 is an abundant number, since it is smaller than the sum of its proper divisors (15393268154880).

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

4775265976320 is an equidigital number, since it uses as much as digits as its factorization.

4775265976320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 133358400, while the sum is 63.

The spelling of 4775265976320 in words is "four trillion, seven hundred seventy-five billion, two hundred sixty-five million, nine hundred seventy-six thousand, three hundred twenty".