4777746372 has 108 divisors (see below), whose sum is σ = 14072123520. Its totient is φ = 1362809952.

The previous prime is 4777746367. The next prime is 4777746377. The reversal of 4777746372 is 2736477774.

It is a happy number.

4777746372 is a `hidden beast` number, since 47 + 7 + 77 + 463 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (4777746367) and next prime (4777746377).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4777746377) 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 35 ways as a sum of consecutive naturals, for example, 1266433 + ... + 1270199.

It is an arithmetic number, because the mean of its divisors is an integer number (130297440).

Almost surely, 2^4777746372 is an apocalyptic number.

4777746372 is a gapful number since it is divisible by the number (42) 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 4777746372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7036061760).

4777746372 is an abundant number, since it is smaller than the sum of its proper divisors (9294377148).

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

4777746372 is a wasteful number, since it uses less digits than its factorization.

4777746372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4510 (or 4498 counting only the distinct ones).

The product of its digits is 9680832, while the sum is 54.

The square root of 4777746372 is about 69121.2439992221. The cubic root of 4777746372 is about 1684.2544253488.

It can be divided in two parts, 47777 and 46372, that added together give a palindrome (94149).

The spelling of 4777746372 in words is "four billion, seven hundred seventy-seven million, seven hundred forty-six thousand, three hundred seventy-two".