1819296672 has 96 divisors (see below), whose sum is σ = 4952767680. Its totient is φ = 584048640.

The previous prime is 1819296653. The next prime is 1819296719. The reversal of 1819296672 is 2766929181.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1873147 + ... + 1874117.

It is an arithmetic number, because the mean of its divisors is an integer number (51591330).

Almost surely, 2^1819296672 is an apocalyptic number.

1819296672 is a gapful number since it is divisible by the number (12) 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 1819296672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476383840).

1819296672 is an abundant number, since it is smaller than the sum of its proper divisors (3133471008).

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

1819296672 is a wasteful number, since it uses less digits than its factorization.

1819296672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 1678 counting only the distinct ones).

The product of its digits is 653184, while the sum is 51.

The square root of 1819296672 is about 42653.2140875691. The cubic root of 1819296672 is about 1220.7718559197.

The spelling of 1819296672 in words is "one billion, eight hundred nineteen million, two hundred ninety-six thousand, six hundred seventy-two".