464198046080 has 64 divisors (see below), whose sum is σ = 1110116249280. Its totient is φ = 185613496320.

The previous prime is 464198046061. The next prime is 464198046101. The reversal of 464198046080 is 80640891464.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1701545 + ... + 1955415.

It is an arithmetic number, because the mean of its divisors is an integer number (17345566395).

Almost surely, 2^464198046080 is an apocalyptic number.

464198046080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464198046080 is an abundant number, since it is smaller than the sum of its proper divisors (645918203200).

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

464198046080 is a wasteful number, since it uses less digits than its factorization.

464198046080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256747 (or 256735 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 50.

The spelling of 464198046080 in words is "four hundred sixty-four billion, one hundred ninety-eight million, forty-six thousand, eighty".