7033608960 has 432 divisors, whose sum is σ = 27053157600. Its totient is φ = 1551040512.

The previous prime is 7033608937. The next prime is 7033608961. The reversal of 7033608960 is 698063307.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (7033608961) 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, 5455996 + ... + 5457284.

It is an arithmetic number, because the mean of its divisors is an integer number (62623050).

Almost surely, 2^7033608960 is an apocalyptic number.

7033608960 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 7033608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13526578800).

7033608960 is an abundant number, since it is smaller than the sum of its proper divisors (20019548640).

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

7033608960 is a wasteful number, since it uses less digits than its factorization.

7033608960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 7033608960 is about 83866.6140964329. The cubic root of 7033608960 is about 1915.9878021605.

The spelling of 7033608960 in words is "seven billion, thirty-three million, six hundred eight thousand, nine hundred sixty".