1678975781184 has 840 divisors, whose sum is σ = 5688214297920. Its totient is φ = 488483094528.

The previous prime is 1678975781179. The next prime is 1678975781191. The reversal of 1678975781184 is 4811875798761.

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

Its product of digits (189665280) is a multiple of the sum of its prime factors (1029).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1954569747 + ... + 1954570605.

It is an arithmetic number, because the mean of its divisors is an integer number (6771683688).

Almost surely, 2^{1678975781184} 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 1678975781184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844107148960).

1678975781184 is an abundant number, since it is smaller than the sum of its proper divisors (4009238516736).

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

1678975781184 is a wasteful number, since it uses less digits than its factorization.

1678975781184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 997 counting only the distinct ones).

The product of its digits is 189665280, while the sum is 72.

The spelling of 1678975781184 in words is "one trillion, six hundred seventy-eight billion, nine hundred seventy-five million, seven hundred eighty-one thousand, one hundred eighty-four".