6542769402624 has 1728 divisors, whose sum is σ = 23517242327040. Its totient is φ = 1597740318720.

The previous prime is 6542769402599. The next prime is 6542769402661. The reversal of 6542769402624 is 4262049672456.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51517869249 + ... + 51517869375.

Almost surely, 2^{6542769402624} is an apocalyptic number.

6542769402624 is a gapful number since it is divisible by the number (64) 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 6542769402624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11758621163520).

6542769402624 is an abundant number, since it is smaller than the sum of its proper divisors (16974472924416).

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

6542769402624 is a wasteful number, since it uses less digits than its factorization.

6542769402624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 57.

The spelling of 6542769402624 in words is "six trillion, five hundred forty-two billion, seven hundred sixty-nine million, four hundred two thousand, six hundred twenty-four".