7009038400 has 567 divisors, whose sum is σ = 22709966391. Its totient is φ = 2121799680.

The previous prime is 7009038349. The next prime is 7009038401. The reversal of 7009038400 is 48309007.

It is a happy number.

The square root of 7009038400 is 83720.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1806590016 + 5202448384 = 42504^2 + 72128^2 .

It is not an unprimeable number, because it can be changed into a prime (7009038401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 304740789 + ... + 304740811.

Almost surely, 2^7009038400 is an apocalyptic number.

7009038400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

7009038400 is the 83720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7009038400

7009038400 is an abundant number, since it is smaller than the sum of its proper divisors (15700927991).

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

7009038400 is a wasteful number, since it uses less digits than its factorization.

7009038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The cubic root of 7009038400 is about 1913.7541542481.

The spelling of 7009038400 in words is "seven billion, nine million, thirty-eight thousand, four hundred".