104364564480 has 896 divisors, whose sum is σ = 423514967040. Its totient is φ = 24135598080.

The previous prime is 104364564467. The next prime is 104364564481. The reversal of 104364564480 is 84465463401.

104364564480 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 6 + 4 + 564 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104364564481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 279797574 + ... + 279797946.

Almost surely, 2^104364564480 is an apocalyptic number.

104364564480 is a gapful number since it is divisible by the number (10) 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 104364564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211757483520).

104364564480 is an abundant number, since it is smaller than the sum of its proper divisors (319150402560).

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

104364564480 is a wasteful number, since it uses less digits than its factorization.

104364564480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 417 counting only the distinct ones).

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

The spelling of 104364564480 in words is "one hundred four billion, three hundred sixty-four million, five hundred sixty-four thousand, four hundred eighty".