7434067872 has 192 divisors, whose sum is σ = 25169356800. Its totient is φ = 1864289280.

The previous prime is 7434067867. The next prime is 7434067891. The reversal of 7434067872 is 2787604347.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197029 + ... + 231707.

It is an arithmetic number, because the mean of its divisors is an integer number (131090400).

Almost surely, 2^7434067872 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 7434067872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12584678400).

7434067872 is an abundant number, since it is smaller than the sum of its proper divisors (17735288928).

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

7434067872 is a wasteful number, since it uses less digits than its factorization.

7434067872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34739 (or 34731 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 48.

The square root of 7434067872 is about 86221.0407731199. The cubic root of 7434067872 is about 1951.6810287952.

The spelling of 7434067872 in words is "seven billion, four hundred thirty-four million, sixty-seven thousand, eight hundred seventy-two".