464351336064 has 384 divisors, whose sum is σ = 1727646036480. Its totient is φ = 120610114560.

The previous prime is 464351336023. The next prime is 464351336087. The reversal of 464351336064 is 460633153464.

464351336064 is a `hidden beast` number, since 4 + 6 + 4 + 3 + 5 + 1 + 33 + 606 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2298067 + ... + 2491949.

It is an arithmetic number, because the mean of its divisors is an integer number (4499078220).

Almost surely, 2^464351336064 is an apocalyptic number.

464351336064 is a gapful number since it is divisible by the number (44) 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 464351336064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863823018240).

464351336064 is an abundant number, since it is smaller than the sum of its proper divisors (1263294700416).

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

464351336064 is a wasteful number, since it uses less digits than its factorization.

464351336064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193930 (or 193906 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 464351336064 in words is "four hundred sixty-four billion, three hundred fifty-one million, three hundred thirty-six thousand, sixty-four".