1819564787040 has 1536 divisors, whose sum is σ = 8076489523200. Its totient is φ = 331913134080.

The previous prime is 1819564787023. The next prime is 1819564787071. The reversal of 1819564787040 is 407874659181.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2530687801 + ... + 2530688519.

It is an arithmetic number, because the mean of its divisors is an integer number (5258131200).

Almost surely, 2^{1819564787040} is an apocalyptic number.

1819564787040 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 1819564787040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4038244761600).

1819564787040 is an abundant number, since it is smaller than the sum of its proper divisors (6256924736160).

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

1819564787040 is a wasteful number, since it uses less digits than its factorization.

1819564787040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 60.

The spelling of 1819564787040 in words is "one trillion, eight hundred nineteen billion, five hundred sixty-four million, seven hundred eighty-seven thousand, forty".