66965427211456 has 224 divisors, whose sum is σ = 149215742208000. Its totient is φ = 29683930042368.

The previous prime is 66965427211439. The next prime is 66965427211519. The reversal of 66965427211456 is 65411272456966.

It is a super-2 number, since 2×66965427211456² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170516890 + ... + 170909158.

Almost surely, 2^{66965427211456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66965427211456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74607871104000).

66965427211456 is an abundant number, since it is smaller than the sum of its proper divisors (82250314996544).

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

66965427211456 is a wasteful number, since it uses less digits than its factorization.

66965427211456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392479 (or 392469 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 64.

The spelling of 66965427211456 in words is "sixty-six trillion, nine hundred sixty-five billion, four hundred twenty-seven million, two hundred eleven thousand, four hundred fifty-six".