66952271232000 has 4224 divisors, whose sum is σ = 329692867246080. Its totient is φ = 12634030080000.

The previous prime is 66952271231957. The next prime is 66952271232001. The reversal of 66952271232000 is 23217225966.

66952271232000 is a `hidden beast` number, since 6 + 6 + 9 + 52 + 271 + 2 + 320 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66952271232001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 43731071235 + ... + 43731072765.

Almost surely, 2^{66952271232000} is an apocalyptic number.

66952271232000 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 66952271232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164846433623040).

66952271232000 is an abundant number, since it is smaller than the sum of its proper divisors (262740596014080).

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

66952271232000 is a wasteful number, since it uses less digits than its factorization.

66952271232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

Adding to 66952271232000 its reverse (23217225966), we get a palindrome (66975488457966).

The spelling of 66952271232000 in words is "sixty-six trillion, nine hundred fifty-two billion, two hundred seventy-one million, two hundred thirty-two thousand".