66407616000 has 960 divisors, whose sum is σ = 267678867456. Its totient is φ = 15685632000.

The previous prime is 66407615999. The next prime is 66407616013. The reversal of 66407616000 is 61670466.

66407616000 is a `hidden beast` number, since 6 + 6 + 40 + 7 + 6 + 1 + 600 + 0 = 666.

66407616000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 297791889 + ... + 297792111.

Almost surely, 2^66407616000 is an apocalyptic number.

66407616000 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 66407616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133839433728).

66407616000 is an abundant number, since it is smaller than the sum of its proper divisors (201271251456).

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

66407616000 is a wasteful number, since it uses less digits than its factorization.

66407616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 66407616000 in words is "sixty-six billion, four hundred seven million, six hundred sixteen thousand".