7429750416 has 135 divisors (see below), whose sum is σ = 22890149737. Its totient is φ = 2247991680.

The previous prime is 7429750409. The next prime is 7429750423. The reversal of 7429750416 is 6140579247.

The square root of 7429750416 is 86196.

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

7429750416 is a `hidden beast` number, since 7 + 42 + 97 + 504 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (7429750409) and next prime (7429750423).

It can be written as a sum of positive squares in only one way, i.e., 1728896400 + 5700854016 = 41580^2 + 75504^2 .

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 26 ways as a sum of consecutive naturals, for example, 11377546 + ... + 11378198.

Almost surely, 2^7429750416 is an apocalyptic number.

7429750416 is the 86196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7429750416

7429750416 is an abundant number, since it is smaller than the sum of its proper divisors (15460399321).

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

7429750416 is a wasteful number, since it uses less digits than its factorization.

7429750416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The cubic root of 7429750416 is about 1951.3031321140.

The spelling of 7429750416 in words is "seven billion, four hundred twenty-nine million, seven hundred fifty thousand, four hundred sixteen".