464046620544 has 1280 divisors, whose sum is σ = 1672034918400. Its totient is φ = 126366842880.

The previous prime is 464046620507. The next prime is 464046620627. The reversal of 464046620544 is 445026640464.

464046620544 is a `hidden beast` number, since 4 + 6 + 4 + 0 + 46 + 62 + 0 + 544 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 464046620544.

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 3338464827 + ... + 3338464965.

It is an arithmetic number, because the mean of its divisors is an integer number (1306277280).

Almost surely, 2^464046620544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464046620544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836017459200).

464046620544 is an abundant number, since it is smaller than the sum of its proper divisors (1207988297856).

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

464046620544 is a wasteful number, since it uses less digits than its factorization.

464046620544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 45.

The spelling of 464046620544 in words is "four hundred sixty-four billion, forty-six million, six hundred twenty thousand, five hundred forty-four".