6293469312 has 320 divisors, whose sum is σ = 20573867160. Its totient is φ = 1897758720.

The previous prime is 6293469263. The next prime is 6293469331. The reversal of 6293469312 is 2139643926.

6293469312 is a `hidden beast` number, since 6 + 293 + 46 + 9 + 312 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3987164736 + 2306304576 = 63144^2 + 48024^2 .

It is a super-3 number, since 3×6293469312³ (a number of 30 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7143112 + ... + 7143992.

It is a vampire number, since it can be written as 63432 ⋅ 99216 (with its own digits).

Almost surely, 2^6293469312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6293469312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10286933580).

6293469312 is an abundant number, since it is smaller than the sum of its proper divisors (14280397848).

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

6293469312 is a wasteful number, since it uses less digits than its factorization.

6293469312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 952 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 6293469312 is about 79331.3891974671. The cubic root of 6293469312 is about 1846.2763486403.

The spelling of 6293469312 in words is "six billion, two hundred ninety-three million, four hundred sixty-nine thousand, three hundred twelve".