7682512500 has 576 divisors, whose sum is σ = 28663165440. Its totient is φ = 1762560000.

The previous prime is 7682512489. The next prime is 7682512529. The reversal of 7682512500 is 52152867.

It is a happy number.

7682512500 is a `hidden beast` number, since 76 + 82 + 5 + 1 + 2 + 500 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 74587449 + ... + 74587551.

It is an arithmetic number, because the mean of its divisors is an integer number (49762440).

Almost surely, 2^7682512500 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 7682512500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14331582720).

7682512500 is an abundant number, since it is smaller than the sum of its proper divisors (20980652940).

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

7682512500 is a wasteful number, since it uses less digits than its factorization.

7682512500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 7682512500 is about 87649.9429549158. The cubic root of 7682512500 is about 1973.1847873203.

The spelling of 7682512500 in words is "seven billion, six hundred eighty-two million, five hundred twelve thousand, five hundred".