7032674880 has 1008 divisors, whose sum is σ = 32203704960. Its totient is φ = 1414195200.

The previous prime is 7032674863. The next prime is 7032674881. The reversal of 7032674880 is 884762307.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1008).

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

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

It is not an unprimeable number, because it can be changed into a prime (7032674881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 226860465 + ... + 226860495.

It is an arithmetic number, because the mean of its divisors is an integer number (31948120).

Almost surely, 2^7032674880 is an apocalyptic number.

7032674880 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 7032674880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16101852480).

7032674880 is an abundant number, since it is smaller than the sum of its proper divisors (25171030080).

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

7032674880 is a wasteful number, since it uses less digits than its factorization.

7032674880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 7032674880 is about 83861.0450686134. The cubic root of 7032674880 is about 1915.9029824932.

The spelling of 7032674880 in words is "seven billion, thirty-two million, six hundred seventy-four thousand, eight hundred eighty".