7006245120 has 288 divisors, whose sum is σ = 28415197440. Its totient is φ = 1601372160.

The previous prime is 7006245089. The next prime is 7006245143. The reversal of 7006245120 is 215426007.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227440 + ... + 256400.

It is an arithmetic number, because the mean of its divisors is an integer number (98663880).

Almost surely, 2^7006245120 is an apocalyptic number.

7006245120 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 7006245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14207598720).

7006245120 is an abundant number, since it is smaller than the sum of its proper divisors (21408952320).

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

7006245120 is a wasteful number, since it uses less digits than its factorization.

7006245120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28998 (or 28978 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 7006245120 is about 83703.3160633436. The cubic root of 7006245120 is about 1913.4998939068.

The spelling of 7006245120 in words is "seven billion, six million, two hundred forty-five thousand, one hundred twenty".