7400673399966 has 128 divisors (see below), whose sum is σ = 19453749350400. Its totient is φ = 1818374261760.

The previous prime is 7400673399929. The next prime is 7400673400009. The reversal of 7400673399966 is 6699933760047.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 7400673399966.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5281225 + ... + 6533963.

It is an arithmetic number, because the mean of its divisors is an integer number (151982416800).

Almost surely, 2^{7400673399966} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7400673399966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9726874675200).

7400673399966 is an abundant number, since it is smaller than the sum of its proper divisors (12053075950434).

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

7400673399966 is a wasteful number, since it uses less digits than its factorization.

7400673399966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253454.

The product of its (nonzero) digits is 277766496, while the sum is 69.

The spelling of 7400673399966 in words is "seven trillion, four hundred billion, six hundred seventy-three million, three hundred ninety-nine thousand, nine hundred sixty-six".