464876678464 has 112 divisors (see below), whose sum is σ = 1018463474880. Its totient is φ = 208779816960.

The previous prime is 464876678407. The next prime is 464876678501.

464876678464 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×464876678464² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 464876678393 and 464876678402.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 19772764 + ... + 19796260.

Almost surely, 2^464876678464 is an apocalyptic number.

464876678464 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 464876678464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509231737440).

464876678464 is an abundant number, since it is smaller than the sum of its proper divisors (553586796416).

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

464876678464 is a wasteful number, since it uses less digits than its factorization.

464876678464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23856 (or 23846 counting only the distinct ones).

The product of its digits is 1040449536, while the sum is 70.

The spelling of 464876678464 in words is "four hundred sixty-four billion, eight hundred seventy-six million, six hundred seventy-eight thousand, four hundred sixty-four".