6541619292 has 144 divisors (see below), whose sum is σ = 18524469600. Its totient is φ = 2006581248.

The previous prime is 6541619281. The next prime is 6541619297. The reversal of 6541619292 is 2929161456.

6541619292 is a `hidden beast` number, since 6 + 5 + 4 + 1 + 619 + 29 + 2 = 666.

It is a super-2 number, since 2×6541619292² = 85585565922933162528, which contains 22 as substring.

Its product of digits (233280) is a multiple of the sum of its prime divisors (1620).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6541619297) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5672988 + ... + 5674140.

It is an arithmetic number, because the mean of its divisors is an integer number (128642150).

Almost surely, 2^6541619292 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 6541619292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9262234800).

6541619292 is an abundant number, since it is smaller than the sum of its proper divisors (11982850308).

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

6541619292 is a wasteful number, since it uses less digits than its factorization.

6541619292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1620 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 6541619292 is about 80880.2775217791. The cubic root of 6541619292 is about 1870.2302986881.

The spelling of 6541619292 in words is "six billion, five hundred forty-one million, six hundred nineteen thousand, two hundred ninety-two".