7640843616 has 768 divisors, whose sum is σ = 29030400000. Its totient is φ = 1944746496.

The previous prime is 7640843611. The next prime is 7640843657. The reversal of 7640843616 is 6163480467.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7640843611) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 129505795 + ... + 129505853.

It is an arithmetic number, because the mean of its divisors is an integer number (37800000).

Almost surely, 2^7640843616 is an apocalyptic number.

7640843616 is a gapful number since it is divisible by the number (76) 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 7640843616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515200000).

7640843616 is an abundant number, since it is smaller than the sum of its proper divisors (21389556384).

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

7640843616 is a wasteful number, since it uses less digits than its factorization.

7640843616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 7640843616 is about 87411.9191872596. The cubic root of 7640843616 is about 1969.6108910520.

The spelling of 7640843616 in words is "seven billion, six hundred forty million, eight hundred forty-three thousand, six hundred sixteen".