8219400000 has 672 divisors, whose sum is σ = 33017886720. Its totient is φ = 1762560000.

The previous prime is 8219399983. The next prime is 8219400017. The reversal of 8219400000 is 49128.

It is an interprime number because it is at equal distance from previous prime (8219399983) and next prime (8219400017).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79799949 + ... + 79800051.

It is an arithmetic number, because the mean of its divisors is an integer number (49133760).

Almost surely, 2^8219400000 is an apocalyptic number.

8219400000 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 8219400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16508943360).

8219400000 is an abundant number, since it is smaller than the sum of its proper divisors (24798486720).

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

8219400000 is a wasteful number, since it uses less digits than its factorization.

8219400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 8219400000 is about 90660.9066797812. The cubic root of 8219400000 is about 2018.1186941173.

Adding to 8219400000 its reverse (49128), we get a palindrome (8219449128).

The spelling of 8219400000 in words is "eight billion, two hundred nineteen million, four hundred thousand".