6542102460 has 192 divisors, whose sum is σ = 19584069120. Its totient is φ = 1628605440.

The previous prime is 6542102459. The next prime is 6542102467. The reversal of 6542102460 is 642012456.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6542102467) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19764495 + ... + 19764825.

It is an arithmetic number, because the mean of its divisors is an integer number (102000360).

Almost surely, 2^6542102460 is an apocalyptic number.

6542102460 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 6542102460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9792034560).

6542102460 is an abundant number, since it is smaller than the sum of its proper divisors (13041966660).

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

6542102460 is a wasteful number, since it uses less digits than its factorization.

6542102460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 6542102460 is about 80883.2643999981. The cubic root of 6542102460 is about 1870.2763430056.

The spelling of 6542102460 in words is "six billion, five hundred forty-two million, one hundred two thousand, four hundred sixty".