1678226973696 has 1056 divisors, whose sum is σ = 6160910595840. Its totient is φ = 428219301888.

The previous prime is 1678226973671. The next prime is 1678226973701. The reversal of 1678226973696 is 6963796228761.

1678226973696 is a `hidden beast` number, since 167 + 82 + 26 + 9 + 7 + 369 + 6 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

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

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, 6238761850 + ... + 6238762118.

It is an arithmetic number, because the mean of its divisors is an integer number (5834195640).

Almost surely, 2^{1678226973696} is an apocalyptic number.

1678226973696 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 1678226973696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3080455297920).

1678226973696 is an abundant number, since it is smaller than the sum of its proper divisors (4482683622144).

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

1678226973696 is a wasteful number, since it uses less digits than its factorization.

1678226973696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 510 counting only the distinct ones).

The product of its digits is 493807104, while the sum is 72.

The spelling of 1678226973696 in words is "one trillion, six hundred seventy-eight billion, two hundred twenty-six million, nine hundred seventy-three thousand, six hundred ninety-six".