7940934144 has 600 divisors, whose sum is σ = 28270056672. Its totient is φ = 2199674880.

The previous prime is 7940934143. The next prime is 7940934179. The reversal of 7940934144 is 4414390497.

7940934144 is a `hidden beast` number, since 79 + 409 + 34 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 7940934144.

It is not an unprimeable number, because it can be changed into a prime (7940934143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 77096397 + ... + 77096499.

Almost surely, 2^7940934144 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 7940934144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14135028336).

7940934144 is an abundant number, since it is smaller than the sum of its proper divisors (20329122528).

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

7940934144 is a wasteful number, since it uses less digits than its factorization.

7940934144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 7940934144 is about 89111.9192027643. The cubic root of 7940934144 is about 1995.0656815958.

The spelling of 7940934144 in words is "seven billion, nine hundred forty million, nine hundred thirty-four thousand, one hundred forty-four".