66869337600 has 360 divisors, whose sum is σ = 257720895432. Its totient is φ = 16459776000.

The previous prime is 66869337581. The next prime is 66869337631. The reversal of 66869337600 is 673396866.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×66869337600² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1475275 + ... + 1519925.

Almost surely, 2^66869337600 is an apocalyptic number.

66869337600 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 66869337600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128860447716).

66869337600 is an abundant number, since it is smaller than the sum of its proper divisors (190851557832).

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

66869337600 is a wasteful number, since it uses less digits than its factorization.

66869337600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44698 (or 44674 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 66869337600 in words is "sixty-six billion, eight hundred sixty-nine million, three hundred thirty-seven thousand, six hundred".