7667625000 has 448 divisors, whose sum is σ = 28799631360. Its totient is φ = 1663200000.

The previous prime is 7667624929. The next prime is 7667625001. The reversal of 7667625000 is 5267667.

7667625000 = T₉₆₇₉ + T₉₆₈₀ + ... + T₉₈₃₉.

It is a self number, because there is not a number n which added to its sum of digits gives 7667625000.

It is not an unprimeable number, because it can be changed into a prime (7667625001) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 60374937 + ... + 60375063.

Almost surely, 2^7667625000 is an apocalyptic number.

7667625000 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 7667625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14399815680).

7667625000 is an abundant number, since it is smaller than the sum of its proper divisors (21132006360).

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

7667625000 is a wasteful number, since it uses less digits than its factorization.

7667625000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 7667625000 is about 87564.9758750609. The cubic root of 7667625000 is about 1971.9093892786.

The spelling of 7667625000 in words is "seven billion, six hundred sixty-seven million, six hundred twenty-five thousand".