4772764416 has 144 divisors (see below), whose sum is σ = 15371403264. Its totient is φ = 1283407872.

The previous prime is 4772764411. The next prime is 4772764417. The reversal of 4772764416 is 6144672774.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 (4772764411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65281 + ... + 117503.

It is an arithmetic number, because the mean of its divisors is an integer number (106745856).

Almost surely, 2^4772764416 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 4772764416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7685701632).

4772764416 is an abundant number, since it is smaller than the sum of its proper divisors (10598638848).

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

4772764416 is a wasteful number, since it uses less digits than its factorization.

4772764416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52266 (or 52252 counting only the distinct ones).

The product of its digits is 1580544, while the sum is 48.

The square root of 4772764416 is about 69085.1967935244. The cubic root of 4772764416 is about 1683.6688075711.

The spelling of 4772764416 in words is "four billion, seven hundred seventy-two million, seven hundred sixty-four thousand, four hundred sixteen".