66412077871680 has 896 divisors, whose sum is σ = 240825747456000. Its totient is φ = 17220916224000.

The previous prime is 66412077871627. The next prime is 66412077871681. The reversal of 66412077871680 is 8617877021466.

66412077871680 is a `hidden beast` number, since 6 + 6 + 412 + 0 + 7 + 78 + 71 + 6 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (66412077871681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 72265590261 + ... + 72265591179.

It is an arithmetic number, because the mean of its divisors is an integer number (268778736000).

Almost surely, 2^{66412077871680} is an apocalyptic number.

66412077871680 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 66412077871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120412873728000).

66412077871680 is an abundant number, since it is smaller than the sum of its proper divisors (174413669584320).

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

66412077871680 is a wasteful number, since it uses less digits than its factorization.

66412077871680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 66412077871680 in words is "sixty-six trillion, four hundred twelve billion, seventy-seven million, eight hundred seventy-one thousand, six hundred eighty".