6634457153536 has 45 divisors (see below), whose sum is σ = 13269168775051. Its totient is φ = 3317063729152.

The previous prime is 6634457153521. The next prime is 6634457153539. The reversal of 6634457153536 is 6353517544366.

The square root of 6634457153536 is 2575744.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6634457153539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 329685171 + ... + 329705293.

Almost surely, 2^{6634457153536} is an apocalyptic number.

6634457153536 is the 2575744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6634457153536

6634457153536 is an abundant number, since it is smaller than the sum of its proper divisors (6634711621515).

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

6634457153536 is an frugal number, since it uses more digits than its factorization.

6634457153536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40274 (or 20125 counting only the distinct ones).

The product of its digits is 81648000, while the sum is 58.

The spelling of 6634457153536 in words is "six trillion, six hundred thirty-four billion, four hundred fifty-seven million, one hundred fifty-three thousand, five hundred thirty-six".