664497046047744 has 4224 divisors, whose sum is σ = 2620086124588800. Its totient is φ = 164700188835840.

The previous prime is 664497046047701. The next prime is 664497046047763. The reversal of 664497046047744 is 447740640794466.

664497046047744 is a `hidden beast` number, since 6 + 6 + 4 + 4 + 9 + 7 + 0 + 4 + 604 + 7 + 7 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 383 ways as a sum of consecutive naturals, for example, 2901733825422 + ... + 2901733825650.

Almost surely, 2^{664497046047744} is an apocalyptic number.

664497046047744 is a gapful number since it is divisible by the number (64) 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 664497046047744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310043062294400).

664497046047744 is an abundant number, since it is smaller than the sum of its proper divisors (1955589078541056).

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

664497046047744 is a wasteful number, since it uses less digits than its factorization.

664497046047744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 2731180032, while the sum is 72.

The spelling of 664497046047744 in words is "six hundred sixty-four trillion, four hundred ninety-seven billion, forty-six million, forty-seven thousand, seven hundred forty-four".