4743577344 has 288 divisors, whose sum is σ = 14504878080. Its totient is φ = 1363046400.

The previous prime is 4743577309. The next prime is 4743577351. The reversal of 4743577344 is 4437753474.

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

It is a junction number, because it is equal to n+sod(n) for n = 4743577293 and 4743577302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15451239 + ... + 15451545.

It is an arithmetic number, because the mean of its divisors is an integer number (50364160).

Almost surely, 2^4743577344 is an apocalyptic number.

4743577344 is a gapful number since it is divisible by the number (44) 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 4743577344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7252439040).

4743577344 is an abundant number, since it is smaller than the sum of its proper divisors (9761300736).

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

4743577344 is a wasteful number, since it uses less digits than its factorization.

4743577344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 413 counting only the distinct ones).

The product of its digits is 3951360, while the sum is 48.

The square root of 4743577344 is about 68873.6331552213. The cubic root of 4743577344 is about 1680.2297191542.

The spelling of 4743577344 in words is "four billion, seven hundred forty-three million, five hundred seventy-seven thousand, three hundred forty-four".