7408134672 has 80 divisors (see below), whose sum is σ = 19707280320. Its totient is φ = 2396238336.

The previous prime is 7408134641. The next prime is 7408134683. The reversal of 7408134672 is 2764318047.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 685503 + ... + 696225.

It is an arithmetic number, because the mean of its divisors is an integer number (246341004).

Almost surely, 2^7408134672 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 7408134672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9853640160).

7408134672 is an abundant number, since it is smaller than the sum of its proper divisors (12299145648).

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

7408134672 is a wasteful number, since it uses less digits than its factorization.

7408134672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11160 (or 11154 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 7408134672 is about 86070.5215041712. The cubic root of 7408134672 is about 1949.4089527579.

The spelling of 7408134672 in words is "seven billion, four hundred eight million, one hundred thirty-four thousand, six hundred seventy-two".