1678564945920 has 416 divisors, whose sum is σ = 5694079150080. Its totient is φ = 421452840960.

The previous prime is 1678564945861. The next prime is 1678564945933. The reversal of 1678564945920 is 295494658761.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70459771 + ... + 70483589.

Almost surely, 2^{1678564945920} is an apocalyptic number.

1678564945920 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 1678564945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2847039575040).

1678564945920 is an abundant number, since it is smaller than the sum of its proper divisors (4015514204160).

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

1678564945920 is a wasteful number, since it uses less digits than its factorization.

1678564945920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23919 (or 23897 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 66.

The spelling of 1678564945920 in words is "one trillion, six hundred seventy-eight billion, five hundred sixty-four million, nine hundred forty-five thousand, nine hundred twenty".