677472726168 has 384 divisors, whose sum is σ = 2230311283200. Its totient is φ = 181473177600.

The previous prime is 677472726121. The next prime is 677472726169. The reversal of 677472726168 is 861627274776.

677472726168 is a `hidden beast` number, since 6 + 7 + 7 + 4 + 7 + 2 + 7 + 2 + 616 + 8 = 666.

677472726168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677472726169) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 768981088 + ... + 768981968.

It is an arithmetic number, because the mean of its divisors is an integer number (5808102300).

Almost surely, 2^677472726168 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 677472726168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115155641600).

677472726168 is an abundant number, since it is smaller than the sum of its proper divisors (1552838557032).

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

677472726168 is a wasteful number, since it uses less digits than its factorization.

677472726168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1656 counting only the distinct ones).

The product of its digits is 66382848, while the sum is 63.

The spelling of 677472726168 in words is "six hundred seventy-seven billion, four hundred seventy-two million, seven hundred twenty-six thousand, one hundred sixty-eight".