7000438144 has 64 divisors (see below), whose sum is σ = 15949992960. Its totient is φ = 2998024704.

The previous prime is 7000438111. The next prime is 7000438153. The reversal of 7000438144 is 4418340007.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×7000438144² = 98012268415940329472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2208849 + ... + 2212015.

It is an arithmetic number, because the mean of its divisors is an integer number (249218640).

Almost surely, 2^7000438144 is an apocalyptic number.

It is an amenable number.

7000438144 is an abundant number, since it is smaller than the sum of its proper divisors (8949554816).

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

7000438144 is a wasteful number, since it uses less digits than its factorization.

7000438144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5655 (or 5643 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 7000438144 is about 83668.6210236550. The cubic root of 7000438144 is about 1912.9710933359.

The spelling of 7000438144 in words is "seven billion, four hundred thirty-eight thousand, one hundred forty-four".