66534147993600 has 1872 divisors, whose sum is σ = 288895241616384. Its totient is φ = 14306181120000.

The previous prime is 66534147993587. The next prime is 66534147993611. The reversal of 66534147993600 is 639974143566.

66534147993600 is a `hidden beast` number, since 6 + 6 + 5 + 3 + 4 + 14 + 7 + 9 + 9 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9051029925 + ... + 9051037275.

Almost surely, 2^{66534147993600} is an apocalyptic number.

66534147993600 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 66534147993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144447620808192).

66534147993600 is an abundant number, since it is smaller than the sum of its proper divisors (222361093622784).

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

66534147993600 is a wasteful number, since it uses less digits than its factorization.

66534147993600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7482 (or 7452 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 63.

The spelling of 66534147993600 in words is "sixty-six trillion, five hundred thirty-four billion, one hundred forty-seven million, nine hundred ninety-three thousand, six hundred".