6077754918468 has 144 divisors (see below), whose sum is σ = 16365693314880. Its totient is φ = 1895180593152.

The previous prime is 6077754918421. The next prime is 6077754918493. The reversal of 6077754918468 is 8648194577706.

6077754918468 is a `hidden beast` number, since 6 + 0 + 7 + 7 + 7 + 549 + 18 + 4 + 68 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 6077754918396 and 6077754918405.

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, 248333080 + ... + 248357552.

It is an arithmetic number, because the mean of its divisors is an integer number (113650648020).

Almost surely, 2^{6077754918468} is an apocalyptic number.

6077754918468 is a gapful number since it is divisible by the number (68) 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 6077754918468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8182846657440).

6077754918468 is an abundant number, since it is smaller than the sum of its proper divisors (10287938396412).

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

6077754918468 is a wasteful number, since it uses less digits than its factorization.

6077754918468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26946 (or 26941 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 72.

The spelling of 6077754918468 in words is "six trillion, seventy-seven billion, seven hundred fifty-four million, nine hundred eighteen thousand, four hundred sixty-eight".