7138070784 has 576 divisors, whose sum is σ = 24792902400. Its totient is φ = 2006581248.

The previous prime is 7138070777. The next prime is 7138070831. The reversal of 7138070784 is 4870708317.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 63168712 + ... + 63168824.

Almost surely, 2^7138070784 is an apocalyptic number.

7138070784 is a gapful number since it is divisible by the number (74) 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 7138070784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12396451200).

7138070784 is an abundant number, since it is smaller than the sum of its proper divisors (17654831616).

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

7138070784 is a wasteful number, since it uses less digits than its factorization.

7138070784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 7138070784 is about 84487.1042467429. The cubic root of 7138070784 is about 1925.4265234898.

The spelling of 7138070784 in words is "seven billion, one hundred thirty-eight million, seventy thousand, seven hundred eighty-four".