464666666464 has 384 divisors, whose sum is σ = 1251746141184. Its totient is φ = 165318912000.

The previous prime is 464666666459. The next prime is 464666666539.

464666666464 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×464666666464² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 464666666396 and 464666666405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 391462479 + ... + 391463665.

It is an arithmetic number, because the mean of its divisors is an integer number (3259755576).

Almost surely, 2^464666666464 is an apocalyptic number.

464666666464 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 464666666464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625873070592).

464666666464 is an abundant number, since it is smaller than the sum of its proper divisors (787079474720).

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

464666666464 is a wasteful number, since it uses less digits than its factorization.

464666666464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1321 counting only the distinct ones).

The product of its digits is 429981696, while the sum is 64.

The spelling of 464666666464 in words is "four hundred sixty-four billion, six hundred sixty-six million, six hundred sixty-six thousand, four hundred sixty-four".