8337338464 has 192 divisors, whose sum is σ = 20901113856. Its totient is φ = 3185547264.

The previous prime is 8337338459. The next prime is 8337338467. The reversal of 8337338464 is 4648337338.

It is a super-2 number, since 2×8337338464² (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 (8337338467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24026739 + ... + 24027085.

It is an arithmetic number, because the mean of its divisors is an integer number (108859968).

Almost surely, 2^8337338464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8337338464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10450556928).

8337338464 is an abundant number, since it is smaller than the sum of its proper divisors (12563775392).

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

8337338464 is a wasteful number, since it uses less digits than its factorization.

8337338464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 629 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 49.

The square root of 8337338464 is about 91309.0272864628. The cubic root of 8337338464 is about 2027.7254133534.

The spelling of 8337338464 in words is "eight billion, three hundred thirty-seven million, three hundred thirty-eight thousand, four hundred sixty-four".