66641097600 has 2016 divisors, whose sum is σ = 319133134440. Its totient is φ = 13586227200.

The previous prime is 66641097569. The next prime is 66641097617. The reversal of 66641097600 is 679014666.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 1257379174 + ... + 1257379226.

Almost surely, 2^66641097600 is an apocalyptic number.

66641097600 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 66641097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159566567220).

66641097600 is an abundant number, since it is smaller than the sum of its proper divisors (252492036840).

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

66641097600 is a wasteful number, since it uses less digits than its factorization.

66641097600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 66641097600 in words is "sixty-six billion, six hundred forty-one million, ninety-seven thousand, six hundred".