1678467108864 has 416 divisors, whose sum is σ = 5539242252544. Its totient is φ = 440173854720.

The previous prime is 1678467108863. The next prime is 1678467108937. The reversal of 1678467108864 is 4688017648761.

It is a tau number, because it is divible by the number of its divisors (416).

It is a junction number, because it is equal to n+sod(n) for n = 1678467108795 and 1678467108804.

It is not an unprimeable number, because it can be changed into a prime (1678467108863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202391502 + ... + 202399794.

It is an arithmetic number, because the mean of its divisors is an integer number (13315486184).

Almost surely, 2^{1678467108864} is an apocalyptic number.

1678467108864 is a gapful number since it is divisible by the number (14) 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 1678467108864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2769621126272).

1678467108864 is an abundant number, since it is smaller than the sum of its proper divisors (3860775143680).

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

1678467108864 is a wasteful number, since it uses less digits than its factorization.

1678467108864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8521 (or 8499 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 66.

The spelling of 1678467108864 in words is "one trillion, six hundred seventy-eight billion, four hundred sixty-seven million, one hundred eight thousand, eight hundred sixty-four".