7398769924624 has 225 divisors, whose sum is σ = 16584418490499. Its totient is φ = 3196188702720.

The previous prime is 7398769924613. The next prime is 7398769924699. The reversal of 7398769924624 is 4264299678937.

The square root of 7398769924624 is 2720068.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 5821314307600 + 1577455617024 = 2412740^2 + 1255968^2 .

It is a super-3 number, since 3×7398769924624³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

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 44 ways as a sum of consecutive naturals, for example, 40877181814 + ... + 40877181994.

Almost surely, 2^{7398769924624} is an apocalyptic number.

7398769924624 is the 2720068-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7398769924624

7398769924624 is an abundant number, since it is smaller than the sum of its proper divisors (9185648565875).

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

7398769924624 is an frugal number, since it uses more digits than its factorization.

7398769924624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 213 counting only the distinct ones).

The product of its digits is 1975228416, while the sum is 76.

The spelling of 7398769924624 in words is "seven trillion, three hundred ninety-eight billion, seven hundred sixty-nine million, nine hundred twenty-four thousand, six hundred twenty-four".