7917834240 has 624 divisors, whose sum is σ = 29910648768. Its totient is φ = 2006581248.

The previous prime is 7917834191. The next prime is 7917834241. The reversal of 7917834240 is 424387197.

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

It is not an unprimeable number, because it can be changed into a prime (7917834241) 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 47 ways as a sum of consecutive naturals, for example, 184135659 + ... + 184135701.

It is an arithmetic number, because the mean of its divisors is an integer number (47933732).

Almost surely, 2^7917834240 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 7917834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14955324384).

7917834240 is an abundant number, since it is smaller than the sum of its proper divisors (21992814528).

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

7917834240 is an equidigital number, since it uses as much as digits as its factorization.

7917834240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 7917834240 is about 88982.2130540705. The cubic root of 7917834240 is about 1993.1292769444.

The spelling of 7917834240 in words is "seven billion, nine hundred seventeen million, eight hundred thirty-four thousand, two hundred forty".