7089900480 has 336 divisors, whose sum is σ = 26383244160. Its totient is φ = 1737179136.

The previous prime is 7089900479. The next prime is 7089900481. The reversal of 7089900480 is 840099807.

7089900480 is a `hidden beast` number, since 7 + 0 + 89 + 90 + 0 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (7089900479) and next prime (7089900481).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7089900481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15312729 + ... + 15313191.

It is an arithmetic number, because the mean of its divisors is an integer number (78521560).

Almost surely, 2^7089900480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7089900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13191622080).

7089900480 is an abundant number, since it is smaller than the sum of its proper divisors (19293343680).

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

7089900480 is a wasteful number, since it uses less digits than its factorization.

7089900480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 7089900480 is about 84201.5467791418. The cubic root of 7089900480 is about 1921.0855840027.

The spelling of 7089900480 in words is "seven billion, eighty-nine million, nine hundred thousand, four hundred eighty".