1678373706240 has 1920 divisors, whose sum is σ = 7726653462528. Its totient is φ = 338968903680.

The previous prime is 1678373706239. The next prime is 1678373706253. The reversal of 1678373706240 is 426073738761.

1678373706240 is a `hidden beast` number, since 1 + 6 + 7 + 8 + 3 + 7 + 3 + 7 + 0 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1772305447 + ... + 1772306393.

Almost surely, 2^{1678373706240} is an apocalyptic number.

1678373706240 is a gapful number since it is divisible by the number (10) 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 1678373706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3863326731264).

1678373706240 is an abundant number, since it is smaller than the sum of its proper divisors (6048279756288).

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

1678373706240 is an equidigital number, since it uses as much as digits as its factorization.

1678373706240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 1678373706240 in words is "one trillion, six hundred seventy-eight billion, three hundred seventy-three million, seven hundred six thousand, two hundred forty".