7640680320 has 1024 divisors, whose sum is σ = 34381670400. Its totient is φ = 1560674304.

The previous prime is 7640680319. The next prime is 7640680343. The reversal of 7640680320 is 230860467.

7640680320 is a `hidden beast` number, since 7 + 640 + 6 + 8 + 0 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 67616584 + ... + 67616696.

It is an arithmetic number, because the mean of its divisors is an integer number (33575850).

Almost surely, 2^7640680320 is an apocalyptic number.

7640680320 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 7640680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17190835200).

7640680320 is an abundant number, since it is smaller than the sum of its proper divisors (26740990080).

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

7640680320 is a wasteful number, since it uses less digits than its factorization.

7640680320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 7640680320 is about 87410.9851220085. The cubic root of 7640680320 is about 1969.5968597972.

The spelling of 7640680320 in words is "seven billion, six hundred forty million, six hundred eighty thousand, three hundred twenty".