66956976000 has 1024 divisors, whose sum is σ = 261211392000. Its totient is φ = 16837632000.

The previous prime is 66956975971. The next prime is 66956976001. The reversal of 66956976000 is 67965966.

66956976000 is a `hidden beast` number, since 6 + 6 + 9 + 569 + 76 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66956976001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 943055965 + ... + 943056035.

It is an arithmetic number, because the mean of its divisors is an integer number (255089250).

Almost surely, 2^66956976000 is an apocalyptic number.

66956976000 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 66956976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130605696000).

66956976000 is an abundant number, since it is smaller than the sum of its proper divisors (194254416000).

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

66956976000 is a wasteful number, since it uses less digits than its factorization.

66956976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 66956976000 in words is "sixty-six billion, nine hundred fifty-six million, nine hundred seventy-six thousand".