66579072000 has 1408 divisors, whose sum is σ = 282524516352. Its totient is φ = 13565952000.

The previous prime is 66579071917. The next prime is 66579072041. The reversal of 66579072000 is 27097566.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1416575977 + ... + 1416576023.

Almost surely, 2^66579072000 is an apocalyptic number.

66579072000 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 66579072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141262258176).

66579072000 is an abundant number, since it is smaller than the sum of its proper divisors (215945444352).

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

66579072000 is a wasteful number, since it uses less digits than its factorization.

66579072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The spelling of 66579072000 in words is "sixty-six billion, five hundred seventy-nine million, seventy-two thousand".