7006984320 has 384 divisors, whose sum is σ = 26372304000. Its totient is φ = 1577533440.

The previous prime is 7006984307. The next prime is 7006984349. The reversal of 7006984320 is 234896007.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6679156 + ... + 6680204.

It is an arithmetic number, because the mean of its divisors is an integer number (68677875).

Almost surely, 2^7006984320 is an apocalyptic number.

7006984320 is a gapful number since it is divisible by the number (70) 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 7006984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13186152000).

7006984320 is an abundant number, since it is smaller than the sum of its proper divisors (19365319680).

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

7006984320 is a wasteful number, since it uses less digits than its factorization.

7006984320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 7006984320 is about 83707.7315425523. The cubic root of 7006984320 is about 1913.5671866985.

The spelling of 7006984320 in words is "seven billion, six million, nine hundred eighty-four thousand, three hundred twenty".