7466704672 has 72 divisors (see below), whose sum is σ = 17195216220. Its totient is φ = 3182215680.

The previous prime is 7466704667. The next prime is 7466704697. The reversal of 7466704672 is 2764076647.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5166159376 + 2300545296 = 71876^2 + 47964^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 270654 + ... + 296962.

Almost surely, 2^7466704672 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 7466704672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8597608110).

7466704672 is an abundant number, since it is smaller than the sum of its proper divisors (9728511548).

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

7466704672 is a wasteful number, since it uses less digits than its factorization.

7466704672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26514 (or 26499 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 49.

The square root of 7466704672 is about 86410.0958916260. The cubic root of 7466704672 is about 1954.5329280173.

The spelling of 7466704672 in words is "seven billion, four hundred sixty-six million, seven hundred four thousand, six hundred seventy-two".