6542820144 has 320 divisors, whose sum is σ = 22319841280. Its totient is φ = 1796256000.

The previous prime is 6542820091. The next prime is 6542820169. The reversal of 6542820144 is 4410282456.

It is a super-3 number, since 3×6542820144³ (a number of 30 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 6542820099 and 6542820108.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8711769 + ... + 8712519.

It is an arithmetic number, because the mean of its divisors is an integer number (69749504).

Almost surely, 2^6542820144 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 6542820144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11159920640).

6542820144 is an abundant number, since it is smaller than the sum of its proper divisors (15777021136).

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

6542820144 is a wasteful number, since it uses less digits than its factorization.

6542820144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 6542820144 is about 80887.7008203349. The cubic root of 6542820144 is about 1870.3447317402.

The spelling of 6542820144 in words is "six billion, five hundred forty-two million, eight hundred twenty thousand, one hundred forty-four".