4662564480 has 384 divisors, whose sum is σ = 18525386880. Its totient is φ = 1058512896.

The previous prime is 4662564479. The next prime is 4662564493. The reversal of 4662564480 is 844652664.

4662564480 is a `hidden beast` number, since 4 + 6 + 6 + 2 + 564 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7942747 + ... + 7943333.

It is an arithmetic number, because the mean of its divisors is an integer number (48243195).

Almost surely, 2^4662564480 is an apocalyptic number.

4662564480 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 4662564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9262693440).

4662564480 is an abundant number, since it is smaller than the sum of its proper divisors (13862822400).

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

4662564480 is a wasteful number, since it uses less digits than its factorization.

4662564480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The square root of 4662564480 is about 68282.9735732122. The cubic root of 4662564480 is about 1670.6095137299.

The spelling of 4662564480 in words is "four billion, six hundred sixty-two million, five hundred sixty-four thousand, four hundred eighty".