4735386576 has 160 divisors (see below), whose sum is σ = 13785427200. Its totient is φ = 1556236800.

The previous prime is 4735386563. The next prime is 4735386583. The reversal of 4735386576 is 6756835374.

4735386576 is a `hidden beast` number, since 4 + 7 + 35 + 38 + 6 + 576 = 666.

It is a super-2 number, since 2×4735386576² = 44847772048322007552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14937970 + ... + 14938286.

It is an arithmetic number, because the mean of its divisors is an integer number (86158920).

Almost surely, 2^4735386576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4735386576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6892713600).

4735386576 is an abundant number, since it is smaller than the sum of its proper divisors (9050040624).

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

4735386576 is a wasteful number, since it uses less digits than its factorization.

4735386576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 702 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 54.

The square root of 4735386576 is about 68814.1451737940. The cubic root of 4735386576 is about 1679.2620738787.

The spelling of 4735386576 in words is "four billion, seven hundred thirty-five million, three hundred eighty-six thousand, five hundred seventy-six".