7066407374208 has 1152 divisors, whose sum is σ = 26055836352000. Its totient is φ = 1821472579584.

The previous prime is 7066407374197. The next prime is 7066407374209. The reversal of 7066407374208 is 8024737046607.

7066407374208 is a `hidden beast` number, since 7 + 0 + 6 + 64 + 0 + 7 + 374 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×7066407374208² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7066407374209) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9828104473 + ... + 9828105191.

It is an arithmetic number, because the mean of its divisors is an integer number (22617913500).

Almost surely, 2^{7066407374208} is an apocalyptic number.

7066407374208 is a gapful number since it is divisible by the number (78) 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 7066407374208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13027918176000).

7066407374208 is an abundant number, since it is smaller than the sum of its proper divisors (18989428977792).

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

7066407374208 is a wasteful number, since it uses less digits than its factorization.

7066407374208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 7066407374208 in words is "seven trillion, sixty-six billion, four hundred seven million, three hundred seventy-four thousand, two hundred eight".