6472616007312 has 480 divisors, whose sum is σ = 23168417126400. Its totient is φ = 1640894423040.

The previous prime is 6472616007307. The next prime is 6472616007443. The reversal of 6472616007312 is 2137006162746.

6472616007312 is a `hidden beast` number, since 6 + 4 + 7 + 2 + 6 + 1 + 600 + 7 + 31 + 2 = 666.

It is a super-3 number, since 3×6472616007312³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60473908 + ... + 60580844.

It is an arithmetic number, because the mean of its divisors is an integer number (48267535680).

Almost surely, 2^{6472616007312} is an apocalyptic number.

6472616007312 is a gapful number since it is divisible by the number (62) 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 6472616007312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11584208563200).

6472616007312 is an abundant number, since it is smaller than the sum of its proper divisors (16695801119088).

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

6472616007312 is a wasteful number, since it uses less digits than its factorization.

6472616007312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107151 (or 107142 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 6472616007312 in words is "six trillion, four hundred seventy-two billion, six hundred sixteen million, seven thousand, three hundred twelve".