66892994852544 has 1344 divisors, whose sum is σ = 235811616768000. Its totient is φ = 18791335535616.

The previous prime is 66892994852543. The next prime is 66892994852587. The reversal of 66892994852544 is 44525849929866.

66892994852544 is a `hidden beast` number, since 6 + 6 + 8 + 9 + 2 + 9 + 9 + 48 + 525 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (66892994852543) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 93036153817 + ... + 93036154535.

It is an arithmetic number, because the mean of its divisors is an integer number (175455072000).

Almost surely, 2^{66892994852544} is an apocalyptic number.

66892994852544 is a gapful number since it is divisible by the number (64) 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 66892994852544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117905808384000).

66892994852544 is an abundant number, since it is smaller than the sum of its proper divisors (168918621915456).

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

66892994852544 is a wasteful number, since it uses less digits than its factorization.

66892994852544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1001 counting only the distinct ones).

The product of its digits is 10749542400, while the sum is 81.

The spelling of 66892994852544 in words is "sixty-six trillion, eight hundred ninety-two billion, nine hundred ninety-four million, eight hundred fifty-two thousand, five hundred forty-four".