7406489664 has 280 divisors, whose sum is σ = 25571671488. Its totient is φ = 2075673600.

The previous prime is 7406489663. The next prime is 7406489669. The reversal of 7406489664 is 4669846047.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 7406489664.

It is not an unprimeable number, because it can be changed into a prime (7406489663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1921339 + ... + 1925189.

Almost surely, 2^7406489664 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 7406489664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12785835744).

7406489664 is an abundant number, since it is smaller than the sum of its proper divisors (18165181824).

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

7406489664 is a wasteful number, since it uses less digits than its factorization.

7406489664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3935 (or 3916 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The square root of 7406489664 is about 86060.9648098370. The cubic root of 7406489664 is about 1949.2646505435.

The spelling of 7406489664 in words is "seven billion, four hundred six million, four hundred eighty-nine thousand, six hundred sixty-four".