7037082000 has 960 divisors, whose sum is σ = 29467488960. Its totient is φ = 1548288000.

The previous prime is 7037081969. The next prime is 7037082007. The reversal of 7037082000 is 2807307.

It can be written as a sum of positive squares in 32 ways, for example, as 6863791104 + 173290896 = 82848^2 + 13164^2 .

It is not an unprimeable number, because it can be changed into a prime (7037082007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 115361970 + ... + 115362030.

It is an arithmetic number, because the mean of its divisors is an integer number (30695301).

Almost surely, 2^7037082000 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 7037082000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14733744480).

7037082000 is an abundant number, since it is smaller than the sum of its proper divisors (22430406960).

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

7037082000 is a wasteful number, since it uses less digits than its factorization.

7037082000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 7037082000 is about 83887.3172774049. The cubic root of 7037082000 is about 1916.3031076870.

Adding to 7037082000 its reverse (2807307), we get a palindrome (7039889307).

The spelling of 7037082000 in words is "seven billion, thirty-seven million, eighty-two thousand".