7338681000 has 720 divisors, whose sum is σ = 30551089140. Its totient is φ = 1638403200.

The previous prime is 7338680983. The next prime is 7338681013. The reversal of 7338681000 is 1868337.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 4960948356 + 2377732644 = 70434^2 + 48762^2 .

It is a super-2 number, since 2×7338681000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 170666979 + ... + 170667021.

Almost surely, 2^7338681000 is an apocalyptic number.

7338681000 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 7338681000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15275544570).

7338681000 is an abundant number, since it is smaller than the sum of its proper divisors (23212408140).

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

7338681000 is a wasteful number, since it uses less digits than its factorization.

7338681000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 7338681000 is about 85666.1018139614. The cubic root of 7338681000 is about 1943.2977001320.

The spelling of 7338681000 in words is "seven billion, three hundred thirty-eight million, six hundred eighty-one thousand".