1819639793664 has 1536 divisors, whose sum is σ = 7185604608000. Its totient is φ = 440731238400.

The previous prime is 1819639793627. The next prime is 1819639793669. The reversal of 1819639793664 is 4663979369181.

1819639793664 is a `hidden beast` number, since 1 + 8 + 1 + 96 + 397 + 93 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×1819639793664² (a number of 25 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1819639793592 and 1819639793601.

It is not an unprimeable number, because it can be changed into a prime (1819639793669) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6714537849 + ... + 6714538119.

It is an arithmetic number, because the mean of its divisors is an integer number (4678128000).

Almost surely, 2^{1819639793664} is an apocalyptic number.

1819639793664 is a gapful number since it is divisible by the number (14) 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 1819639793664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3592802304000).

1819639793664 is an abundant number, since it is smaller than the sum of its proper divisors (5365964814336).

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

1819639793664 is a wasteful number, since it uses less digits than its factorization.

1819639793664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 396 counting only the distinct ones).

The product of its digits is 317447424, while the sum is 72.

The spelling of 1819639793664 in words is "one trillion, eight hundred nineteen billion, six hundred thirty-nine million, seven hundred ninety-three thousand, six hundred sixty-four".