1678240612224 has 768 divisors, whose sum is σ = 5595361873920. Its totient is φ = 496419840000.

The previous prime is 1678240612193. The next prime is 1678240612247. The reversal of 1678240612224 is 4222160428761.

1678240612224 is a `hidden beast` number, since 1 + 6 + 7 + 8 + 2 + 4 + 0 + 612 + 2 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1678240612224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3986319534 + ... + 3986319954.

It is an arithmetic number, because the mean of its divisors is an integer number (7285627440).

Almost surely, 2^{1678240612224} 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 1678240612224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2797680936960).

1678240612224 is an abundant number, since it is smaller than the sum of its proper divisors (3917121261696).

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

1678240612224 is a wasteful number, since it uses less digits than its factorization.

1678240612224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 1678240612224 in words is "one trillion, six hundred seventy-eight billion, two hundred forty million, six hundred twelve thousand, two hundred twenty-four".