1678429380096 has 240 divisors, whose sum is σ = 5578343641728. Its totient is φ = 475889356800.

The previous prime is 1678429379953. The next prime is 1678429380109. The reversal of 1678429380096 is 6900839248761.

1678429380096 is a `hidden beast` number, since 167 + 8 + 4 + 2 + 9 + 380 + 0 + 96 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4026931 + ... + 4424141.

Almost surely, 2^{1678429380096} is an apocalyptic number.

1678429380096 is a gapful number since it is divisible by the number (16) 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 1678429380096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789171820864).

1678429380096 is an abundant number, since it is smaller than the sum of its proper divisors (3899914261632).

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

1678429380096 is a wasteful number, since it uses less digits than its factorization.

1678429380096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397373 (or 397354 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 1678429380096 in words is "one trillion, six hundred seventy-eight billion, four hundred twenty-nine million, three hundred eighty thousand, ninety-six".