7428954624 has 160 divisors (see below), whose sum is σ = 24358857600. Its totient is φ = 1959247872.

The previous prime is 7428954583. The next prime is 7428954629. The reversal of 7428954624 is 4264598247.

It is not an unprimeable number, because it can be changed into a prime (7428954629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113202 + ... + 166350.

It is an arithmetic number, because the mean of its divisors is an integer number (152242860).

Almost surely, 2^7428954624 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 7428954624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12179428800).

7428954624 is an abundant number, since it is smaller than the sum of its proper divisors (16929902976).

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

7428954624 is a wasteful number, since it uses less digits than its factorization.

7428954624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53190 (or 53174 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 51.

The square root of 7428954624 is about 86191.3836993002. The cubic root of 7428954624 is about 1951.2334623503.

The spelling of 7428954624 in words is "seven billion, four hundred twenty-eight million, nine hundred fifty-four thousand, six hundred twenty-four".