7541661816 has 160 divisors (see below), whose sum is σ = 23533725600. Its totient is φ = 2240421120.

The previous prime is 7541661791. The next prime is 7541661821. The reversal of 7541661816 is 6181661457.

7541661816 is a `hidden beast` number, since 7 + 5 + 4 + 16 + 618 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 228861 + ... + 259731.

It is an arithmetic number, because the mean of its divisors is an integer number (147085785).

Almost surely, 2^7541661816 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 7541661816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11766862800).

7541661816 is an abundant number, since it is smaller than the sum of its proper divisors (15992063784).

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

7541661816 is a wasteful number, since it uses less digits than its factorization.

7541661816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30931 (or 30918 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 7541661816 is about 86842.7418728819. The cubic root of 7541661816 is about 1961.0515854978.

The spelling of 7541661816 in words is "seven billion, five hundred forty-one million, six hundred sixty-one thousand, eight hundred sixteen".