464531673353360 has 40 divisors (see below), whose sum is σ = 1080043706763000. Its totient is φ = 185811367626752.

The previous prime is 464531673353269. The next prime is 464531673353381. The reversal of 464531673353360 is 63353376135464.

It can be written as a sum of positive squares in 4 ways, for example, as 150262878846976 + 314268794506384 = 12258176^2 + 17727628^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 464531673353360.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8807747 + ... + 31727586.

It is an arithmetic number, because the mean of its divisors is an integer number (27001092669075).

Almost surely, 2^{464531673353360} is an apocalyptic number.

464531673353360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464531673353360 is an abundant number, since it is smaller than the sum of its proper divisors (615512033409640).

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

464531673353360 is a wasteful number, since it uses less digits than its factorization.

464531673353360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40678595 (or 40678589 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 59.

The spelling of 464531673353360 in words is "four hundred sixty-four trillion, five hundred thirty-one billion, six hundred seventy-three million, three hundred fifty-three thousand, three hundred sixty".