464675576464 has 20 divisors (see below), whose sum is σ = 982155196080. Its totient is φ = 211216171040.

The previous prime is 464675576437. The next prime is 464675576467.

It is a happy number.

464675576464 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 464675576396 and 464675576405.

It is not an unprimeable number, because it can be changed into a prime (464675576467) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1320100894 + ... + 1320101245.

It is an arithmetic number, because the mean of its divisors is an integer number (49107759804).

Almost surely, 2^464675576464 is an apocalyptic number.

464675576464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

464675576464 is an abundant number, since it is smaller than the sum of its proper divisors (517479619616).

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

464675576464 is a wasteful number, since it uses less digits than its factorization.

464675576464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2640202158 (or 2640202152 counting only the distinct ones).

The product of its digits is 406425600, while the sum is 64.

The spelling of 464675576464 in words is "four hundred sixty-four billion, six hundred seventy-five million, five hundred seventy-six thousand, four hundred sixty-four".