66637388160 has 384 divisors, whose sum is σ = 263617286400. Its totient is φ = 15194492928.

The previous prime is 66637388149. The next prime is 66637388267. The reversal of 66637388160 is 6188373666.

66637388160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 66637388097 and 66637388106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18827671 + ... + 18831209.

It is an arithmetic number, because the mean of its divisors is an integer number (686503350).

Almost surely, 2^66637388160 is an apocalyptic number.

66637388160 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 66637388160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131808643200).

66637388160 is an abundant number, since it is smaller than the sum of its proper divisors (196979898240).

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

66637388160 is a wasteful number, since it uses less digits than its factorization.

66637388160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4038 (or 4023 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 66637388160 in words is "sixty-six billion, six hundred thirty-seven million, three hundred eighty-eight thousand, one hundred sixty".