6474160433664 has 720 divisors, whose sum is σ = 23819772936960. Its totient is φ = 1673916088320.

The previous prime is 6474160433641. The next prime is 6474160433669. The reversal of 6474160433664 is 4663340614746.

6474160433664 is a `hidden beast` number, since 6 + 47 + 4 + 160 + 433 + 6 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6474160433664.

It is not an unprimeable number, because it can be changed into a prime (6474160433669) 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, 553861932 + ... + 553873620.

It is an arithmetic number, because the mean of its divisors is an integer number (33083017968).

Almost surely, 2^{6474160433664} is an apocalyptic number.

6474160433664 is a gapful number since it is divisible by the number (64) 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 6474160433664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11909886468480).

6474160433664 is an abundant number, since it is smaller than the sum of its proper divisors (17345612503296).

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

6474160433664 is a wasteful number, since it uses less digits than its factorization.

6474160433664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11961 (or 11935 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 54.

The spelling of 6474160433664 in words is "six trillion, four hundred seventy-four billion, one hundred sixty million, four hundred thirty-three thousand, six hundred sixty-four".