7013760040 has 128 divisors (see below), whose sum is σ = 19486656000. Its totient is φ = 2263188480.

The previous prime is 7013760037. The next prime is 7013760041. The reversal of 7013760040 is 400673107.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 7013759990 and 7013760008.

It is not an unprimeable number, because it can be changed into a prime (7013760041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218205 + ... + 248275.

It is an arithmetic number, because the mean of its divisors is an integer number (152239500).

Almost surely, 2^7013760040 is an apocalyptic number.

7013760040 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 7013760040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9743328000).

7013760040 is an abundant number, since it is smaller than the sum of its proper divisors (12472895960).

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

7013760040 is a wasteful number, since it uses less digits than its factorization.

7013760040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30120 (or 30102 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 7013760040 is about 83748.1942491896. The cubic root of 7013760040 is about 1914.1837913995.

The spelling of 7013760040 in words is "seven billion, thirteen million, seven hundred sixty thousand, forty".