7839013140 has 720 divisors, whose sum is σ = 31305648528. Its totient is φ = 1630347264.

The previous prime is 7839013139. The next prime is 7839013159. The reversal of 7839013140 is 413109387.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 302342544 + 7536670596 = 17388^2 + 86814^2 .

It is a super-2 number, since 2×7839013140² (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 a junction number, because it is equal to n+sod(n) for n = 7839013095 and 7839013104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 49929942 + ... + 49930098.

Almost surely, 2^7839013140 is an apocalyptic number.

7839013140 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 7839013140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15652824264).

7839013140 is an abundant number, since it is smaller than the sum of its proper divisors (23466635388).

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

7839013140 is a wasteful number, since it uses less digits than its factorization.

7839013140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 7839013140 is about 88538.2015855303. The cubic root of 7839013140 is about 1986.4934198103.

The spelling of 7839013140 in words is "seven billion, eight hundred thirty-nine million, thirteen thousand, one hundred forty".