67564536480 has 672 divisors, whose sum is σ = 277084209024. Its totient is φ = 15241955328.

The previous prime is 67564536437. The next prime is 67564536491. The reversal of 67564536480 is 8463546576.

67564536480 is a `hidden beast` number, since 6 + 7 + 5 + 64 + 536 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 67767342 + ... + 67768338.

It is an arithmetic number, because the mean of its divisors is an integer number (412327692).

Almost surely, 2^67564536480 is an apocalyptic number.

67564536480 is a gapful number since it is divisible by the number (60) 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 67564536480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138542104512).

67564536480 is an abundant number, since it is smaller than the sum of its proper divisors (209519672544).

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

67564536480 is an equidigital number, since it uses as much as digits as its factorization.

67564536480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 67564536480 in words is "sixty-seven billion, five hundred sixty-four million, five hundred thirty-six thousand, four hundred eighty".