4870864969344 has 384 divisors, whose sum is σ = 16691560704000. Its totient is φ = 1398332574720.

The previous prime is 4870864969273. The next prime is 4870864969367. The reversal of 4870864969344 is 4439694680784.

4870864969344 is a `hidden beast` number, since 4 + 8 + 7 + 0 + 8 + 6 + 496 + 93 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

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, 6126097 + ... + 6875375.

It is an arithmetic number, because the mean of its divisors is an integer number (43467606000).

Almost surely, 2^{4870864969344} is an apocalyptic number.

4870864969344 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 4870864969344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8345780352000).

4870864969344 is an abundant number, since it is smaller than the sum of its proper divisors (11820695734656).

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

4870864969344 is a wasteful number, since it uses less digits than its factorization.

4870864969344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749338 (or 749314 counting only the distinct ones).

The product of its (nonzero) digits is 1003290624, while the sum is 72.

The spelling of 4870864969344 in words is "four trillion, eight hundred seventy billion, eight hundred sixty-four million, nine hundred sixty-nine thousand, three hundred forty-four".