66537884160 has 800 divisors, whose sum is σ = 268654662144. Its totient is φ = 15593472000.

The previous prime is 66537884107. The next prime is 66537884167. The reversal of 66537884160 is 6148873566.

66537884160 is a `hidden beast` number, since 6 + 6 + 537 + 8 + 8 + 41 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 66537884097 and 66537884106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66537884167) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 70709290 + ... + 70710230.

Almost surely, 2^66537884160 is an apocalyptic number.

66537884160 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 66537884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134327331072).

66537884160 is an abundant number, since it is smaller than the sum of its proper divisors (202116777984).

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

66537884160 is a wasteful number, since it uses less digits than its factorization.

66537884160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 66537884160 in words is "sixty-six billion, five hundred thirty-seven million, eight hundred eighty-four thousand, one hundred sixty".