66349829700 has 1080 divisors, whose sum is σ = 284961969600. Its totient is φ = 13035686400.

The previous prime is 66349829699. The next prime is 66349829723. The reversal of 66349829700 is 792894366.

It is a happy number.

66349829700 is a `hidden beast` number, since 6 + 6 + 349 + 8 + 297 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 130353046 + ... + 130353554.

Almost surely, 2^66349829700 is an apocalyptic number.

66349829700 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 66349829700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142480984800).

66349829700 is an abundant number, since it is smaller than the sum of its proper divisors (218612139900).

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

66349829700 is a wasteful number, since it uses less digits than its factorization.

66349829700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 66349829700 in words is "sixty-six billion, three hundred forty-nine million, eight hundred twenty-nine thousand, seven hundred".