6461470752 has 192 divisors, whose sum is σ = 19559232000. Its totient is φ = 1847162880.

The previous prime is 6461470711. The next prime is 6461470777. The reversal of 6461470752 is 2570741646.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6159124 + ... + 6160172.

It is an arithmetic number, because the mean of its divisors is an integer number (101871000).

Almost surely, 2^6461470752 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 6461470752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9779616000).

6461470752 is an abundant number, since it is smaller than the sum of its proper divisors (13097761248).

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

6461470752 is a wasteful number, since it uses less digits than its factorization.

6461470752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 6461470752 is about 80383.2740811171. The cubic root of 6461470752 is about 1862.5608107827.

The spelling of 6461470752 in words is "six billion, four hundred sixty-one million, four hundred seventy thousand, seven hundred fifty-two".