66207836160 has 384 divisors, whose sum is σ = 240864624000. Its totient is φ = 17241735168.

The previous prime is 66207836137. The next prime is 66207836173. The reversal of 66207836160 is 6163870266.

66207836160 is a `hidden beast` number, since 6 + 6 + 20 + 7 + 8 + 3 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11885856 + ... + 11891424.

It is an arithmetic number, because the mean of its divisors is an integer number (627251625).

Almost surely, 2^66207836160 is an apocalyptic number.

66207836160 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 66207836160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120432312000).

66207836160 is an abundant number, since it is smaller than the sum of its proper divisors (174656787840).

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

66207836160 is a wasteful number, since it uses less digits than its factorization.

66207836160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5648 (or 5622 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

It can be divided in two parts, 6620 and 7836160, that added together give a triangular number (7842780 = T₃₉₆₀).

The spelling of 66207836160 in words is "sixty-six billion, two hundred seven million, eight hundred thirty-six thousand, one hundred sixty".