7954073424 has 240 divisors, whose sum is σ = 26574549120. Its totient is φ = 2268288000.

The previous prime is 7954073423. The next prime is 7954073437. The reversal of 7954073424 is 4243704597.

7954073424 is a `hidden beast` number, since 79 + 540 + 7 + 34 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 7954073424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7954073423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 884149 + ... + 893099.

It is an arithmetic number, because the mean of its divisors is an integer number (110727288).

Almost surely, 2^7954073424 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 7954073424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13287274560).

7954073424 is an abundant number, since it is smaller than the sum of its proper divisors (18620475696).

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

7954073424 is a wasteful number, since it uses less digits than its factorization.

7954073424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9007 (or 8984 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 7954073424 is about 89185.6122028660. The cubic root of 7954073424 is about 1996.1654380994.

The spelling of 7954073424 in words is "seven billion, nine hundred fifty-four million, seventy-three thousand, four hundred twenty-four".