8346970464 has 144 divisors (see below), whose sum is σ = 25661286000. Its totient is φ = 2368644096.

The previous prime is 8346970439. The next prime is 8346970481. The reversal of 8346970464 is 4640796438.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 694942 + ... + 706850.

It is an arithmetic number, because the mean of its divisors is an integer number (178203375).

Almost surely, 2^8346970464 is an apocalyptic number.

8346970464 is a gapful number since it is divisible by the number (84) 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 8346970464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12830643000).

8346970464 is an abundant number, since it is smaller than the sum of its proper divisors (17314315536).

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

8346970464 is a wasteful number, since it uses less digits than its factorization.

8346970464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12085 (or 12070 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The square root of 8346970464 is about 91361.7560251553. The cubic root of 8346970464 is about 2028.5059795889.

The spelling of 8346970464 in words is "eight billion, three hundred forty-six million, nine hundred seventy thousand, four hundred sixty-four".