7541861000 has 128 divisors (see below), whose sum is σ = 18521568000. Its totient is φ = 2868940800.

The previous prime is 7541860999. The next prime is 7541861021. The reversal of 7541861000 is 1681457.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4438151 + ... + 4439849.

It is an arithmetic number, because the mean of its divisors is an integer number (144699750).

Almost surely, 2^7541861000 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 7541861000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9260784000).

7541861000 is an abundant number, since it is smaller than the sum of its proper divisors (10979707000).

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

7541861000 is a wasteful number, since it uses less digits than its factorization.

7541861000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 7541861000 is about 86843.8886738727. Note that the first 3 decimals coincide. The cubic root of 7541861000 is about 1961.0688498916.

The spelling of 7541861000 in words is "seven billion, five hundred forty-one million, eight hundred sixty-one thousand".