5953466304 has 140 divisors (see below), whose sum is σ = 17814532824. Its totient is φ = 1965758976.

The previous prime is 5953466297. The next prime is 5953466329. The reversal of 5953466304 is 4036643595.

5953466304 is a `hidden beast` number, since 5 + 9 + 5 + 3 + 4 + 6 + 630 + 4 = 666.

It is a super-2 number, since 2×5953466304² = 70887522065726840832, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5953466304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 549322 + ... + 560054.

Almost surely, 2^5953466304 is an apocalyptic number.

5953466304 is a gapful number since it is divisible by the number (54) 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 5953466304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8907266412).

5953466304 is an abundant number, since it is smaller than the sum of its proper divisors (11861066520).

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

5953466304 is a wasteful number, since it uses less digits than its factorization.

5953466304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10864 (or 10845 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The square root of 5953466304 is about 77158.7085428469. The cubic root of 5953466304 is about 1812.4107660484.

The spelling of 5953466304 in words is "five billion, nine hundred fifty-three million, four hundred sixty-six thousand, three hundred four".