7039838880 has 144 divisors (see below), whose sum is σ = 24084201960. Its totient is φ = 1872543744.

The previous prime is 7039838879. The next prime is 7039838881. The reversal of 7039838880 is 888389307.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7039838879) and next prime (7039838881).

It can be written as a sum of positive squares in 4 ways, for example, as 7037867664 + 1971216 = 83892^2 + 1404^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (7039838881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 582984 + ... + 594936.

Almost surely, 2^7039838880 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 7039838880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12042100980).

7039838880 is an abundant number, since it is smaller than the sum of its proper divisors (17044363080).

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

7039838880 is a wasteful number, since it uses less digits than its factorization.

7039838880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12383 (or 12372 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 7039838880 is about 83903.7477112912. The cubic root of 7039838880 is about 1916.5533216233.

It can be divided in two parts, 70398 and 38880, that added together give a triangular number (109278 = T₄₆₇).

The spelling of 7039838880 in words is "seven billion, thirty-nine million, eight hundred thirty-eight thousand, eight hundred eighty".