7916330240 has 576 divisors, whose sum is σ = 25411008000. Its totient is φ = 2341011456.

The previous prime is 7916330237. The next prime is 7916330267. The reversal of 7916330240 is 420336197.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 7916330240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108442844 + ... + 108442916.

Almost surely, 2^7916330240 is an apocalyptic number.

7916330240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7916330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12705504000).

7916330240 is an abundant number, since it is smaller than the sum of its proper divisors (17494677760).

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

7916330240 is a wasteful number, since it uses less digits than its factorization.

7916330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 7916330240 is about 88973.7615255194. The cubic root of 7916330240 is about 1993.0030700312.

The spelling of 7916330240 in words is "seven billion, nine hundred sixteen million, three hundred thirty thousand, two hundred forty".