6542246880 has 720 divisors, whose sum is σ = 26114568480. Its totient is φ = 1539772416.

The previous prime is 6542246873. The next prime is 6542246923. The reversal of 6542246880 is 886422456.

6542246880 is a `hidden beast` number, since 6 + 542 + 24 + 6 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 63516909 + ... + 63517011.

It is an arithmetic number, because the mean of its divisors is an integer number (36270234).

Almost surely, 2^6542246880 is an apocalyptic number.

6542246880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6542246880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13057284240).

6542246880 is an abundant number, since it is smaller than the sum of its proper divisors (19572321600).

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

6542246880 is a wasteful number, since it uses less digits than its factorization.

6542246880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 6542246880 is about 80884.1571631923. The cubic root of 6542246880 is about 1870.2901053154.

The spelling of 6542246880 in words is "six billion, five hundred forty-two million, two hundred forty-six thousand, eight hundred eighty".