7964029440 has 240 divisors, whose sum is σ = 29205561528. Its totient is φ = 1998716928.

The previous prime is 7964029439. The next prime is 7964029483. The reversal of 7964029440 is 449204697.

It can be written as a sum of positive squares in 4 ways, for example, as 7962349824 + 1679616 = 89232^2 + 1296^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 381514 + ... + 401846.

Almost surely, 2^7964029440 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 7964029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14602780764).

7964029440 is an abundant number, since it is smaller than the sum of its proper divisors (21241532088).

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

7964029440 is a wasteful number, since it uses less digits than its factorization.

7964029440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20379 (or 20360 counting only the distinct ones).

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

The square root of 7964029440 is about 89241.4110152904. The cubic root of 7964029440 is about 1996.9979494342.

The spelling of 7964029440 in words is "seven billion, nine hundred sixty-four million, twenty-nine thousand, four hundred forty".