464644234656 has 672 divisors, whose sum is σ = 1641325327488. Its totient is φ = 126643046400.

The previous prime is 464644234643. The next prime is 464644234673. The reversal of 464644234656 is 656432446464.

It is a happy number.

464644234656 is a `hidden beast` number, since 464 + 64 + 42 + 34 + 6 + 56 = 666.

464644234656 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 320222731 + ... + 320224181.

It is an arithmetic number, because the mean of its divisors is an integer number (2442448404).

Almost surely, 2^464644234656 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 464644234656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820662663744).

464644234656 is an abundant number, since it is smaller than the sum of its proper divisors (1176681092832).

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

464644234656 is a wasteful number, since it uses less digits than its factorization.

464644234656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1553 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 54.

The spelling of 464644234656 in words is "four hundred sixty-four billion, six hundred forty-four million, two hundred thirty-four thousand, six hundred fifty-six".