10418773680 has 720 divisors, whose sum is σ = 44468296704. Its totient is φ = 2137006080.

The previous prime is 10418773627. The next prime is 10418773693. The reversal of 10418773680 is 8637781401.

10418773680 is a `hidden beast` number, since 104 + 187 + 7 + 368 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 33500725 + ... + 33501035.

Almost surely, 2^10418773680 is an apocalyptic number.

10418773680 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 10418773680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22234148352).

10418773680 is an abundant number, since it is smaller than the sum of its proper divisors (34049523024).

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

10418773680 is a wasteful number, since it uses less digits than its factorization.

10418773680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 10418773680 in words is "ten billion, four hundred eighteen million, seven hundred seventy-three thousand, six hundred eighty".