7640040960 has 160 divisors (see below), whose sum is σ = 27138307680. Its totient is φ = 2037325824.

The previous prime is 7640040959. The next prime is 7640040979. The reversal of 7640040960 is 690400467.

7640040960 is a `hidden beast` number, since 7 + 640 + 0 + 4 + 0 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13854 + ... + 124386.

It is an arithmetic number, because the mean of its divisors is an integer number (169614423).

Almost surely, 2^7640040960 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 7640040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13569153840).

7640040960 is an abundant number, since it is smaller than the sum of its proper divisors (19498266720).

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

7640040960 is a wasteful number, since it uses less digits than its factorization.

7640040960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110565 (or 110543 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 7640040960 is about 87407.3278392607. The cubic root of 7640040960 is about 1969.5419206852.

The spelling of 7640040960 in words is "seven billion, six hundred forty million, forty thousand, nine hundred sixty".