7940014560 has 576 divisors, whose sum is σ = 30025562112. Its totient is φ = 1902624768.

The previous prime is 7940014559. The next prime is 7940014567. The reversal of 7940014560 is 654100497.

7940014560 is a `hidden beast` number, since 7 + 94 + 0 + 0 + 1 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7940014567) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 77087469 + ... + 77087571.

It is an arithmetic number, because the mean of its divisors is an integer number (52127712).

Almost surely, 2^7940014560 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 7940014560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15012781056).

7940014560 is an abundant number, since it is smaller than the sum of its proper divisors (22085547552).

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

7940014560 is a wasteful number, since it uses less digits than its factorization.

7940014560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 7940014560 is about 89106.7593395697. The cubic root of 7940014560 is about 1994.9886670922.

The spelling of 7940014560 in words is "seven billion, nine hundred forty million, fourteen thousand, five hundred sixty".