1809078187968 has 168 divisors, whose sum is σ = 5459463269520. Its totient is φ = 571167313920.

The previous prime is 1809078187951. The next prime is 1809078187999. The reversal of 1809078187968 is 8697818709081.

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

It is a junction number, because it is equal to n+sod(n) for n = 1809078187896 and 1809078187905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61895598 + ... + 61924818.

Almost surely, 2^{1809078187968} is an apocalyptic number.

1809078187968 is a gapful number since it is divisible by the number (18) 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 1809078187968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729731634760).

1809078187968 is an abundant number, since it is smaller than the sum of its proper divisors (3650385081552).

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

1809078187968 is a wasteful number, since it uses less digits than its factorization.

1809078187968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34915 (or 34902 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 72.

The spelling of 1809078187968 in words is "one trillion, eight hundred nine billion, seventy-eight million, one hundred eighty-seven thousand, nine hundred sixty-eight".