7541420166 has 96 divisors (see below), whose sum is σ = 19532988000. Its totient is φ = 2150475264.

The previous prime is 7541420143. The next prime is 7541420177. The reversal of 7541420166 is 6610241457.

7541420166 is a `hidden beast` number, since 75 + 4 + 1 + 420 + 166 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 7541420166.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1503070 + ... + 1508078.

It is an arithmetic number, because the mean of its divisors is an integer number (203468625).

Almost surely, 2^7541420166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7541420166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9766494000).

7541420166 is an abundant number, since it is smaller than the sum of its proper divisors (11991567834).

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

7541420166 is a wasteful number, since it uses less digits than its factorization.

7541420166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5603 (or 5590 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 7541420166 is about 86841.3505537541. The cubic root of 7541420166 is about 1961.0306399295.

The spelling of 7541420166 in words is "seven billion, five hundred forty-one million, four hundred twenty thousand, one hundred sixty-six".