4477476747744 has 864 divisors, whose sum is σ = 17261628576192. Its totient is φ = 1071260467200.

The previous prime is 4477476747743. The next prime is 4477476747749.

4477476747744 is a `hidden beast` number, since 4 + 4 + 77 + 47 + 6 + 7 + 477 + 44 = 666.

4477476747744 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4477476747743) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1880501434 + ... + 1880503814.

It is an arithmetic number, because the mean of its divisors is an integer number (19978736778).

Almost surely, 2^{4477476747744} is an apocalyptic number.

4477476747744 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 4477476747744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8630814288096).

4477476747744 is an abundant number, since it is smaller than the sum of its proper divisors (12784151828448).

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

4477476747744 is a wasteful number, since it uses less digits than its factorization.

4477476747744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3032 (or 3010 counting only the distinct ones).

The product of its digits is 2891341824, while the sum is 72.

The spelling of 4477476747744 in words is "four trillion, four hundred seventy-seven billion, four hundred seventy-six million, seven hundred forty-seven thousand, seven hundred forty-four".