7006088880 has 480 divisors, whose sum is σ = 29545251840. Its totient is φ = 1450690560.

The previous prime is 7006088879. The next prime is 7006088893. The reversal of 7006088880 is 888806007.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2200890 + ... + 2204070.

It is an arithmetic number, because the mean of its divisors is an integer number (61552608).

Almost surely, 2^7006088880 is an apocalyptic number.

7006088880 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 7006088880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14772625920).

7006088880 is an abundant number, since it is smaller than the sum of its proper divisors (22539162960).

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

7006088880 is a wasteful number, since it uses less digits than its factorization.

7006088880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3249 (or 3240 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 7006088880 is about 83702.3827617828. The cubic root of 7006088880 is about 1913.4856700517.

The spelling of 7006088880 in words is "seven billion, six million, eighty-eight thousand, eight hundred eighty".