819159920640 has 416 divisors, whose sum is σ = 2948327515200. Its totient is φ = 218430701568.

The previous prime is 819159920617. The next prime is 819159920669. The reversal of 819159920640 is 46029951918.

819159920640 is a `hidden beast` number, since 8 + 1 + 9 + 1 + 599 + 2 + 0 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44780616 + ... + 44798904.

Almost surely, 2^819159920640 is an apocalyptic number.

819159920640 is a gapful number since it is divisible by the number (80) 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 819159920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474163757600).

819159920640 is an abundant number, since it is smaller than the sum of its proper divisors (2129167594560).

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

819159920640 is an frugal number, since it uses more digits than its factorization.

819159920640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18339 (or 18299 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 819159920640 in words is "eight hundred nineteen billion, one hundred fifty-nine million, nine hundred twenty thousand, six hundred forty".