75290969664 has 315 divisors, whose sum is σ = 231629726097. Its totient is φ = 24181618176.

The previous prime is 75290969659. The next prime is 75290969681. The reversal of 75290969664 is 46696909257.

The square root of 75290969664 is 274392.

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

It can be written as a sum of positive squares in only one way, i.e., 67371393600 + 7919576064 = 259560^2 + 88992^2 .

It is a super-2 number, since 2×75290969664² (a number of 23 digits) contains 22 as substring.

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 44 ways as a sum of consecutive naturals, for example, 730980237 + ... + 730980339.

Almost surely, 2^75290969664 is an apocalyptic number.

75290969664 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

75290969664 is the 274392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75290969664

75290969664 is an abundant number, since it is smaller than the sum of its proper divisors (156338756433).

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

75290969664 is an equidigital number, since it uses as much as digits as its factorization.

75290969664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 75290969664 in words is "seventy-five billion, two hundred ninety million, nine hundred sixty-nine thousand, six hundred sixty-four".