104628372480 has 264 divisors, whose sum is σ = 366140323224. Its totient is φ = 27623424000.

The previous prime is 104628372473. The next prime is 104628372503. The reversal of 104628372480 is 84273826401.

It is a happy number.

104628372480 is a `hidden beast` number, since 1 + 0 + 462 + 83 + 72 + 48 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10433396736 + 94194975744 = 102144^2 + 306912^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4642840 + ... + 4665320.

Almost surely, 2^104628372480 is an apocalyptic number.

104628372480 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 104628372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183070161612).

104628372480 is an abundant number, since it is smaller than the sum of its proper divisors (261511950744).

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

104628372480 is a wasteful number, since it uses less digits than its factorization.

104628372480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22613 (or 22592 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 104628372480 in words is "one hundred four billion, six hundred twenty-eight million, three hundred seventy-two thousand, four hundred eighty".