7665840000 has 1200 divisors, whose sum is σ = 35279113320. Its totient is φ = 1617408000.

The previous prime is 7665839999. The next prime is 7665840029. The reversal of 7665840000 is 485667.

It is a happy number.

7665840000 is a `hidden beast` number, since 76 + 6 + 584 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 589679994 + ... + 589680006.

Almost surely, 2^7665840000 is an apocalyptic number.

7665840000 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 7665840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17639556660).

7665840000 is an abundant number, since it is smaller than the sum of its proper divisors (27613273320).

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

7665840000 is an equidigital number, since it uses as much as digits as its factorization.

7665840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 7665840000 is about 87554.7828505102. The cubic root of 7665840000 is about 1971.7563592146.

The spelling of 7665840000 in words is "seven billion, six hundred sixty-five million, eight hundred forty thousand".