464147712000 has 1536 divisors, whose sum is σ = 2009063347200. Its totient is φ = 103514112000.

The previous prime is 464147711953. The next prime is 464147712011. The reversal of 464147712000 is 217741464.

It is a happy number.

464147712000 is a `hidden beast` number, since 4 + 64 + 1 + 477 + 120 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2564351910 + ... + 2564352090.

It is an arithmetic number, because the mean of its divisors is an integer number (1307983950).

Almost surely, 2^464147712000 is an apocalyptic number.

464147712000 is a gapful number since it is divisible by the number (40) 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 464147712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004531673600).

464147712000 is an abundant number, since it is smaller than the sum of its proper divisors (1544915635200).

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

464147712000 is a wasteful number, since it uses less digits than its factorization.

464147712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 464147712000 in words is "four hundred sixty-four billion, one hundred forty-seven million, seven hundred twelve thousand".