1678695997440 has 1008 divisors, whose sum is σ = 6801218174016. Its totient is φ = 346073333760.

The previous prime is 1678695997439. The next prime is 1678695997471. The reversal of 1678695997440 is 447995968761.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13218078657 + ... + 13218078783.

It is an arithmetic number, because the mean of its divisors is an integer number (6747240252).

Almost surely, 2^{1678695997440} is an apocalyptic number.

1678695997440 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 1678695997440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3400609087008).

1678695997440 is an abundant number, since it is smaller than the sum of its proper divisors (5122522176576).

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

1678695997440 is an equidigital number, since it uses as much as digits as its factorization.

1678695997440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 75.

The spelling of 1678695997440 in words is "one trillion, six hundred seventy-eight billion, six hundred ninety-five million, nine hundred ninety-seven thousand, four hundred forty".