6046964352 has 576 divisors, whose sum is σ = 21332263680. Its totient is φ = 1632153600.

The previous prime is 6046964347. The next prime is 6046964359. The reversal of 6046964352 is 2534696406.

6046964352 is a `hidden beast` number, since 604 + 6 + 9 + 6 + 4 + 35 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×6046964352³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6046964298 and 6046964307.

It is not an unprimeable number, because it can be changed into a prime (6046964359) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 85168477 + ... + 85168547.

It is an arithmetic number, because the mean of its divisors is an integer number (37035180).

Almost surely, 2^6046964352 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 6046964352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10666131840).

6046964352 is an abundant number, since it is smaller than the sum of its proper divisors (15285299328).

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

6046964352 is a wasteful number, since it uses less digits than its factorization.

6046964352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The square root of 6046964352 is about 77762.2295976652. The cubic root of 6046964352 is about 1821.8493812465.

The spelling of 6046964352 in words is "six billion, forty-six million, nine hundred sixty-four thousand, three hundred fifty-two".