7040019600 has 360 divisors, whose sum is σ = 26575609320. Its totient is φ = 1718599680.

The previous prime is 7040019599. The next prime is 7040019601. The reversal of 7040019600 is 69100407.

7040019600 is a `hidden beast` number, since 7 + 0 + 40 + 0 + 19 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (7040019599) and next prime (7040019601).

It can be written as a sum of positive squares in 12 ways, for example, as 759774096 + 6280245504 = 27564^2 + 79248^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (7040019601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2262846 + ... + 2265954.

It is an arithmetic number, because the mean of its divisors is an integer number (73821137).

Almost surely, 2^7040019600 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 7040019600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13287804660).

7040019600 is an abundant number, since it is smaller than the sum of its proper divisors (19535589720).

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

7040019600 is a wasteful number, since it uses less digits than its factorization.

7040019600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3187 (or 3173 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 7040019600 is about 83904.8246526980. The cubic root of 7040019600 is about 1916.5697214566.

It can be divided in two parts, 70400 and 19600, that added together give a square (90000 = 300²).

The spelling of 7040019600 in words is "seven billion, forty million, nineteen thousand, six hundred".