654011061334680 has 1024 divisors, whose sum is σ = 2426207999385600. Its totient is φ = 137648005447680.

The previous prime is 654011061334667. The next prime is 654011061334711. The reversal of 654011061334680 is 86433160110456.

654011061334680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×654011061334680² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 99803302284 + ... + 99803308836.

It is an arithmetic number, because the mean of its divisors is an integer number (2369343749400).

Almost surely, 2^{654011061334680} is an apocalyptic number.

654011061334680 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 654011061334680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213103999692800).

654011061334680 is an abundant number, since it is smaller than the sum of its proper divisors (1772196938050920).

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

654011061334680 is a wasteful number, since it uses less digits than its factorization.

654011061334680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7404 (or 7400 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 654011061334680 in words is "six hundred fifty-four trillion, eleven billion, sixty-one million, three hundred thirty-four thousand, six hundred eighty".