7936734240 has 384 divisors, whose sum is σ = 29870104320. Its totient is φ = 1961017344.

The previous prime is 7936734233. The next prime is 7936734271. The reversal of 7936734240 is 424376397.

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

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 63 ways as a sum of consecutive naturals, for example, 4919674 + ... + 4921286.

It is an arithmetic number, because the mean of its divisors is an integer number (77786730).

Almost surely, 2^7936734240 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 7936734240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14935052160).

7936734240 is an abundant number, since it is smaller than the sum of its proper divisors (21933370080).

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

7936734240 is a wasteful number, since it uses less digits than its factorization.

7936734240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The square root of 7936734240 is about 89088.3507536199. The cubic root of 7936734240 is about 1994.7138941851.

The spelling of 7936734240 in words is "seven billion, nine hundred thirty-six million, seven hundred thirty-four thousand, two hundred forty".