7661005000 has 80 divisors (see below), whose sum is σ = 19581669360. Its totient is φ = 2785800000.

The previous prime is 7661004997. The next prime is 7661005031. The reversal of 7661005000 is 5001667.

It is a super-2 number, since 2×7661005000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 19 ways as a sum of consecutive naturals, for example, 14646 + ... + 124645.

It is an arithmetic number, because the mean of its divisors is an integer number (244770867).

Almost surely, 2^7661005000 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 7661005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9790834680).

7661005000 is an abundant number, since it is smaller than the sum of its proper divisors (11920664360).

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

7661005000 is a wasteful number, since it uses less digits than its factorization.

7661005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139328 (or 139309 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 7661005000 is about 87527.1672111008. The cubic root of 7661005000 is about 1971.3417298541.

Adding to 7661005000 its reverse (5001667), we get a palindrome (7666006667).

The spelling of 7661005000 in words is "seven billion, six hundred sixty-one million, five thousand".