6007878672768 has 576 divisors, whose sum is σ = 21741630908400. Its totient is φ = 1582231117824.

The previous prime is 6007878672743. The next prime is 6007878672797. The reversal of 6007878672768 is 8672768787006.

6007878672768 is a `hidden beast` number, since 600 + 7 + 8 + 7 + 8 + 6 + 7 + 2 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×6007878672768² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 6007878672696 and 6007878672705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39607246 + ... + 39758642.

Almost surely, 2^{6007878672768} 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 6007878672768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10870815454200).

6007878672768 is an abundant number, since it is smaller than the sum of its proper divisors (15733752235632).

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

6007878672768 is a wasteful number, since it uses less digits than its factorization.

6007878672768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151487 (or 151465 counting only the distinct ones).

The product of its (nonzero) digits is 531062784, while the sum is 72.

The spelling of 6007878672768 in words is "six trillion, seven billion, eight hundred seventy-eight million, six hundred seventy-two thousand, seven hundred sixty-eight".