4379843976768 has 896 divisors, whose sum is σ = 14490059351040. Its totient is φ = 1288671068160.

The previous prime is 4379843976757. The next prime is 4379843976787. The reversal of 4379843976768 is 8676793489734.

4379843976768 is a `hidden beast` number, since 4 + 37 + 9 + 84 + 397 + 67 + 68 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12996569496 + ... + 12996569832.

It is an arithmetic number, because the mean of its divisors is an integer number (16171941240).

Almost surely, 2^{4379843976768} is an apocalyptic number.

4379843976768 is a gapful number since it is divisible by the number (48) 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 4379843976768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7245029675520).

4379843976768 is an abundant number, since it is smaller than the sum of its proper divisors (10110215374272).

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

4379843976768 is a wasteful number, since it uses less digits than its factorization.

4379843976768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 636 counting only the distinct ones).

The product of its digits is 9217732608, while the sum is 81.

The spelling of 4379843976768 in words is "four trillion, three hundred seventy-nine billion, eight hundred forty-three million, nine hundred seventy-six thousand, seven hundred sixty-eight".