66377505686400 has 288 divisors, whose sum is σ = 236880263692800. Its totient is φ = 17698417827840.

The previous prime is 66377505686389. The next prime is 66377505686423. The reversal of 66377505686400 is 468650577366.

66377505686400 is a `hidden beast` number, since 6 + 6 + 3 + 7 + 7 + 5 + 0 + 568 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×66377505686400² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 232820737 + ... + 233105663.

It is an arithmetic number, because the mean of its divisors is an integer number (822500915600).

Almost surely, 2^{66377505686400} is an apocalyptic number.

66377505686400 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 66377505686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118440131846400).

66377505686400 is an abundant number, since it is smaller than the sum of its proper divisors (170502758006400).

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

66377505686400 is a wasteful number, since it uses less digits than its factorization.

66377505686400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293046 (or 293026 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 66377505686400 in words is "sixty-six trillion, three hundred seventy-seven billion, five hundred five million, six hundred eighty-six thousand, four hundred".