6541422624 has 180 divisors, whose sum is σ = 21147071022. Its totient is φ = 1982154240.

The previous prime is 6541422611. The next prime is 6541422677. The reversal of 6541422624 is 4262241456.

6541422624 is a `hidden beast` number, since 6 + 5 + 4 + 1 + 4 + 22 + 624 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3767504400 + 2773918224 = 61380^2 + 52668^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 303204 + ... + 324060.

Almost surely, 2^6541422624 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 6541422624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10573535511).

6541422624 is an abundant number, since it is smaller than the sum of its proper divisors (14605648398).

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

6541422624 is a wasteful number, since it uses less digits than its factorization.

6541422624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20901 (or 20873 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 6541422624 is about 80879.0617156258. The cubic root of 6541422624 is about 1870.2115562269.

The spelling of 6541422624 in words is "six billion, five hundred forty-one million, four hundred twenty-two thousand, six hundred twenty-four".