19824076804 has 81 divisors (see below), whose sum is σ = 41179079487. Its totient is φ = 8326230528.

The previous prime is 19824076777. The next prime is 19824076813. The reversal of 19824076804 is 40867042891.

It is a happy number.

The square root of 19824076804 is 140798.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 13747562500 + 6076514304 = 117250^2 + 77952^2 .

It is a super-2 number, since 2×19824076804² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 175434252 + ... + 175434364.

Almost surely, 2^19824076804 is an apocalyptic number.

19824076804 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

19824076804 is the 140798-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19824076804

19824076804 is an abundant number, since it is smaller than the sum of its proper divisors (21355002683).

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

19824076804 is an equidigital number, since it uses as much as digits as its factorization.

19824076804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

Multiplying 19824076804 by its sum of digits (49), we get a square (971379763396 = 985586²).

19824076804 divided by its sum of digits (49) gives a square (404572996 = 20114²).

The spelling of 19824076804 in words is "nineteen billion, eight hundred twenty-four million, seventy-six thousand, eight hundred four".