66042077794560 has 3456 divisors, whose sum is σ = 291587608166400. Its totient is φ = 13987240869888.

The previous prime is 66042077794547. The next prime is 66042077794591. The reversal of 66042077794560 is 6549777024066.

It is a happy number.

66042077794560 is a `hidden beast` number, since 6 + 6 + 0 + 42 + 0 + 77 + 79 + 456 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 395461543597 + ... + 395461543763.

It is an arithmetic number, because the mean of its divisors is an integer number (84371414400).

Almost surely, 2^{66042077794560} is an apocalyptic number.

66042077794560 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 66042077794560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145793804083200).

66042077794560 is an abundant number, since it is smaller than the sum of its proper divisors (225545530371840).

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

66042077794560 is a wasteful number, since it uses less digits than its factorization.

66042077794560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 66042077794560 in words is "sixty-six trillion, forty-two billion, seventy-seven million, seven hundred ninety-four thousand, five hundred sixty".