7190434368 has 448 divisors, whose sum is σ = 24063594240. Its totient is φ = 2090188800.

The previous prime is 7190434351. The next prime is 7190434379. The reversal of 7190434368 is 8634340917.

7190434368 is a `hidden beast` number, since 71 + 90 + 434 + 3 + 68 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34077783 + ... + 34077993.

It is an arithmetic number, because the mean of its divisors is an integer number (53713380).

Almost surely, 2^7190434368 is an apocalyptic number.

7190434368 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7190434368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12031797120).

7190434368 is an abundant number, since it is smaller than the sum of its proper divisors (16873159872).

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

7190434368 is a wasteful number, since it uses less digits than its factorization.

7190434368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 7190434368 is about 84796.4289814141. The cubic root of 7190434368 is about 1930.1232498452.

The spelling of 7190434368 in words is "seven billion, one hundred ninety million, four hundred thirty-four thousand, three hundred sixty-eight".