66658032000 has 1536 divisors, whose sum is σ = 296039577600. Its totient is φ = 14689382400.

The previous prime is 66658031989. The next prime is 66658032011. The reversal of 66658032000 is 23085666.

It is an interprime number because it is at equal distance from previous prime (66658031989) and next prime (66658032011).

It is a super-2 number, since 2×66658032000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 994895967 + ... + 994896033.

It is an arithmetic number, because the mean of its divisors is an integer number (192734100).

Almost surely, 2^66658032000 is an apocalyptic number.

66658032000 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 66658032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148019788800).

66658032000 is an abundant number, since it is smaller than the sum of its proper divisors (229381545600).

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

66658032000 is a wasteful number, since it uses less digits than its factorization.

66658032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 66658032000 in words is "sixty-six billion, six hundred fifty-eight million, thirty-two thousand".