666029952000 has 3168 divisors, whose sum is σ = 3180240161280. Its totient is φ = 137952460800.

The previous prime is 666029951953. The next prime is 666029952011. The reversal of 666029952000 is 259920666.

It is a super-2 number, since 2×666029952000² (a number of 24 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 28957823989 + ... + 28957824011.

Almost surely, 2^666029952000 is an apocalyptic number.

666029952000 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 666029952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590120080640).

666029952000 is an abundant number, since it is smaller than the sum of its proper divisors (2514210209280).

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

666029952000 is a wasteful number, since it uses less digits than its factorization.

666029952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 666029952000 in words is "six hundred sixty-six billion, twenty-nine million, nine hundred fifty-two thousand".