66097603461120 has 1440 divisors, whose sum is σ = 270586761338880. Its totient is φ = 13622952591360.

The previous prime is 66097603461119. The next prime is 66097603461121. The reversal of 66097603461120 is 2116430679066.

It is an interprime number because it is at equal distance from previous prime (66097603461119) and next prime (66097603461121).

It is not an unprimeable number, because it can be changed into a prime (66097603461121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16823007316 + ... + 16823011244.

It is an arithmetic number, because the mean of its divisors is an integer number (187907473152).

Almost surely, 2^{66097603461120} is an apocalyptic number.

66097603461120 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 66097603461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135293380669440).

66097603461120 is an abundant number, since it is smaller than the sum of its proper divisors (204489157877760).

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

66097603461120 is a wasteful number, since it uses less digits than its factorization.

66097603461120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4117 (or 4084 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 66097603461120 in words is "sixty-six trillion, ninety-seven billion, six hundred three million, four hundred sixty-one thousand, one hundred twenty".