8349190080 has 448 divisors, whose sum is σ = 33287086080. Its totient is φ = 1722470400.

The previous prime is 8349190079. The next prime is 8349190081. The reversal of 8349190080 is 800919438.

It is an interprime number because it is at equal distance from previous prime (8349190079) and next prime (8349190081).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8349190081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13231365 + ... + 13231995.

Almost surely, 2^8349190080 is an apocalyptic number.

8349190080 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 8349190080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16643543040).

8349190080 is an abundant number, since it is smaller than the sum of its proper divisors (24937896000).

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

8349190080 is a wasteful number, since it uses less digits than its factorization.

8349190080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 8349190080 is about 91373.9026199494. The cubic root of 8349190080 is about 2028.6857695821.

The spelling of 8349190080 in words is "eight billion, three hundred forty-nine million, one hundred ninety thousand, eighty".