464742061056000 has 3584 divisors, whose sum is σ = 2129424698419200. Its totient is φ = 97965755596800.

The previous prime is 464742061055903. The next prime is 464742061056181. The reversal of 464742061056000 is 650160247464.

464742061056000 is a `hidden beast` number, since 4 + 6 + 4 + 7 + 4 + 20 + 6 + 10 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 255 ways as a sum of consecutive naturals, for example, 425198591454 + ... + 425198592546.

It is an arithmetic number, because the mean of its divisors is an integer number (594147516300).

Almost surely, 2^{464742061056000} is an apocalyptic number.

464742061056000 is a gapful number since it is divisible by the number (40) 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 464742061056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064712349209600).

464742061056000 is an abundant number, since it is smaller than the sum of its proper divisors (1664682637363200).

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

464742061056000 is an equidigital number, since it uses as much as digits as its factorization.

464742061056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 464742061056000 in words is "four hundred sixty-four trillion, seven hundred forty-two billion, sixty-one million, fifty-six thousand".