8219347290 has 384 divisors, whose sum is σ = 27848540160. Its totient is φ = 1688480640.

The previous prime is 8219347267. The next prime is 8219347303. The reversal of 8219347290 is 927439128.

8219347290 is a `hidden beast` number, since 8 + 2 + 1 + 93 + 472 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29043489 + ... + 29043771.

It is an arithmetic number, because the mean of its divisors is an integer number (72522240).

Almost surely, 2^8219347290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8219347290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13924270080).

8219347290 is an abundant number, since it is smaller than the sum of its proper divisors (19629192870).

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

8219347290 is a wasteful number, since it uses less digits than its factorization.

8219347290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 8219347290 is about 90660.6159807002. The cubic root of 8219347290 is about 2018.1143801259.

The spelling of 8219347290 in words is "eight billion, two hundred nineteen million, three hundred forty-seven thousand, two hundred ninety".