4477460647744 has 112 divisors (see below), whose sum is σ = 10392450640000. Its totient is φ = 1873913481216.

The previous prime is 4477460647741. The next prime is 4477460647757.

4477460647744 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×4477460647744² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4477460647741) 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, 110728522 + ... + 110768950.

Almost surely, 2^{4477460647744} 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 4477460647744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5196225320000).

4477460647744 is an abundant number, since it is smaller than the sum of its proper divisors (5914989992256).

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

4477460647744 is a wasteful number, since it uses less digits than its factorization.

4477460647744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46240 (or 46230 counting only the distinct ones).

The product of its (nonzero) digits is 354041856, while the sum is 64.

The spelling of 4477460647744 in words is "four trillion, four hundred seventy-seven billion, four hundred sixty million, six hundred forty-seven thousand, seven hundred forty-four".