7652340000 has 480 divisors, whose sum is σ = 28718807040. Its totient is φ = 1980288000.

The previous prime is 7652339993. The next prime is 7652340119. The reversal of 7652340000 is 432567.

It is a happy number.

7652340000 is a `hidden beast` number, since 7 + 652 + 3 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 19979809 + ... + 19980191.

It is an arithmetic number, because the mean of its divisors is an integer number (59830848).

Almost surely, 2^7652340000 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 7652340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14359403520).

7652340000 is an abundant number, since it is smaller than the sum of its proper divisors (21066467040).

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

7652340000 is a wasteful number, since it uses less digits than its factorization.

7652340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 7652340000 is about 87477.6542895384. The cubic root of 7652340000 is about 1970.5982190383.

Adding to 7652340000 its reverse (432567), we get a palindrome (7652772567).

The spelling of 7652340000 in words is "seven billion, six hundred fifty-two million, three hundred forty thousand".