7006396320 has 1440 divisors, whose sum is σ = 33787575360. Its totient is φ = 1347010560.

The previous prime is 7006396277. The next prime is 7006396349. The reversal of 7006396320 is 236936007.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 118752451 + ... + 118752509.

It is an arithmetic number, because the mean of its divisors is an integer number (23463594).

Almost surely, 2^7006396320 is an apocalyptic number.

7006396320 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 7006396320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16893787680).

7006396320 is an abundant number, since it is smaller than the sum of its proper divisors (26781179040).

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

7006396320 is a wasteful number, since it uses less digits than its factorization.

7006396320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 7006396320 is about 83704.2192484943. The cubic root of 7006396320 is about 1913.5136587265.

The spelling of 7006396320 in words is "seven billion, six million, three hundred ninety-six thousand, three hundred twenty".