4447874076464 has 240 divisors, whose sum is σ = 10847118240000. Its totient is φ = 1751267363328.

The previous prime is 4447874076433. The next prime is 4447874076479. The reversal of 4447874076464 is 4646704787444.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4447874076464.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2967226787 + ... + 2967228285.

It is an arithmetic number, because the mean of its divisors is an integer number (45196326000).

Almost surely, 2^{4447874076464} 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 4447874076464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5423559120000).

4447874076464 is an abundant number, since it is smaller than the sum of its proper divisors (6399244163536).

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

4447874076464 is a wasteful number, since it uses less digits than its factorization.

4447874076464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2720 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 404619264, while the sum is 65.

The spelling of 4447874076464 in words is "four trillion, four hundred forty-seven billion, eight hundred seventy-four million, seventy-six thousand, four hundred sixty-four".