4779607392 has 576 divisors, whose sum is σ = 17840088000. Its totient is φ = 1235533824.

The previous prime is 4779607369. The next prime is 4779607411. The reversal of 4779607392 is 2937069774.

It is a super-2 number, since 2×4779607392² = 45689293643322083328, 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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20871534 + ... + 20871762.

It is an arithmetic number, because the mean of its divisors is an integer number (30972375).

Almost surely, 2^4779607392 is an apocalyptic number.

4779607392 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 4779607392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8920044000).

4779607392 is an abundant number, since it is smaller than the sum of its proper divisors (13060480608).

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

4779607392 is a wasteful number, since it uses less digits than its factorization.

4779607392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

The square root of 4779607392 is about 69134.7046858522. The cubic root of 4779607392 is about 1684.4730796433.

It can be divided in two parts, 4779 and 607392, that added together give a triangular number (612171 = T₁₁₀₆).

The spelling of 4779607392 in words is "four billion, seven hundred seventy-nine million, six hundred seven thousand, three hundred ninety-two".