19670812416 has 360 divisors, whose sum is σ = 61542125568. Its totient is φ = 6241536000.

The previous prime is 19670812391. The next prime is 19670812417. The reversal of 19670812416 is 61421807691.

19670812416 is a `hidden beast` number, since 1 + 96 + 70 + 81 + 2 + 416 = 666.

It is a super-2 number, since 2×19670812416² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19670812417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45639721 + ... + 45640151.

Almost surely, 2^19670812416 is an apocalyptic number.

19670812416 is a gapful number since it is divisible by the number (16) 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 19670812416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30771062784).

19670812416 is an abundant number, since it is smaller than the sum of its proper divisors (41871313152).

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

19670812416 is an equidigital number, since it uses as much as digits as its factorization.

19670812416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 19670812416 in words is "nineteen billion, six hundred seventy million, eight hundred twelve thousand, four hundred sixteen".