4772440512 has 224 divisors, whose sum is σ = 16263152640. Its totient is φ = 1344107520.

The previous prime is 4772440507. The next prime is 4772440513. The reversal of 4772440512 is 2150442774.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4772440513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 856038 + ... + 861594.

It is an arithmetic number, because the mean of its divisors is an integer number (72603360).

Almost surely, 2^4772440512 is an apocalyptic number.

4772440512 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 4772440512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8131576320).

4772440512 is an abundant number, since it is smaller than the sum of its proper divisors (11490712128).

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

4772440512 is a wasteful number, since it uses less digits than its factorization.

4772440512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5656 (or 5640 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The square root of 4772440512 is about 69082.8525178282. The cubic root of 4772440512 is about 1683.6307192746.

The spelling of 4772440512 in words is "four billion, seven hundred seventy-two million, four hundred forty thousand, five hundred twelve".