6962872320 has 272 divisors, whose sum is σ = 24788147520. Its totient is φ = 1854406656.

The previous prime is 6962872313. The next prime is 6962872331. The reversal of 6962872320 is 232782696.

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 15 ways as a sum of consecutive naturals, for example, 8846967 + ... + 8847753.

Almost surely, 2^6962872320 is an apocalyptic number.

6962872320 is a gapful number since it is divisible by the number (60) 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 6962872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12394073760).

6962872320 is an abundant number, since it is smaller than the sum of its proper divisors (17825275200).

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

6962872320 is an frugal number, since it uses more digits than its factorization.

6962872320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 6962872320 is about 83443.8273331227. The cubic root of 6962872320 is about 1909.5431525259.

The spelling of 6962872320 in words is "six billion, nine hundred sixty-two million, eight hundred seventy-two thousand, three hundred twenty".