66042461642520 has 512 divisors, whose sum is σ = 218962604851200. Its totient is φ = 15934287029760.

The previous prime is 66042461642489. The next prime is 66042461642609. The reversal of 66042461642520 is 2524616424066.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 66042461642520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42145794777 + ... + 42145796343.

It is an arithmetic number, because the mean of its divisors is an integer number (427661337600).

Almost surely, 2^{66042461642520} is an apocalyptic number.

66042461642520 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 66042461642520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109481302425600).

66042461642520 is an abundant number, since it is smaller than the sum of its proper divisors (152920143208680).

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

66042461642520 is a wasteful number, since it uses less digits than its factorization.

66042461642520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2700 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 66042461642520 in words is "sixty-six trillion, forty-two billion, four hundred sixty-one million, six hundred forty-two thousand, five hundred twenty".