7066166400 has 288 divisors, whose sum is σ = 25566698820. Its totient is φ = 1857945600.

The previous prime is 7066166383. The next prime is 7066166417. The reversal of 7066166400 is 46616607.

7066166400 is a `hidden beast` number, since 7 + 0 + 6 + 6 + 1 + 6 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7066166383) and next prime (7066166417).

It can be written as a sum of positive squares in 6 ways, for example, as 3695667264 + 3370499136 = 60792^2 + 58056^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2100720 + ... + 2104080.

Almost surely, 2^7066166400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7066166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12783349410).

7066166400 is an abundant number, since it is smaller than the sum of its proper divisors (18500532420).

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

7066166400 is a wasteful number, since it uses less digits than its factorization.

7066166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3464 (or 3444 counting only the distinct ones).

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

The square root of 7066166400 is about 84060.4925039105. The cubic root of 7066166400 is about 1918.9395185344.

The spelling of 7066166400 in words is "seven billion, sixty-six million, one hundred sixty-six thousand, four hundred".