4567457664 has 576 divisors, whose sum is σ = 17156106240. Its totient is φ = 1140480000.

The previous prime is 4567457663. The next prime is 4567457669. The reversal of 4567457664 is 4667547654.

4567457664 is a `hidden beast` number, since 4 + 5 + 6 + 7 + 4 + 576 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 4567457664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4567457663) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30247989 + ... + 30248139.

Almost surely, 2^4567457664 is an apocalyptic number.

4567457664 is a gapful number since it is divisible by the number (44) 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 4567457664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8578053120).

4567457664 is an abundant number, since it is smaller than the sum of its proper divisors (12588648576).

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

4567457664 is a wasteful number, since it uses less digits than its factorization.

4567457664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 205 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 54.

The square root of 4567457664 is about 67582.9687421321. The cubic root of 4567457664 is about 1659.1723827254.

The spelling of 4567457664 in words is "four billion, five hundred sixty-seven million, four hundred fifty-seven thousand, six hundred sixty-four".