18434641680 has 720 divisors, whose sum is σ = 80031234816. Its totient is φ = 3716444160.

The previous prime is 18434641651. The next prime is 18434641721. The reversal of 18434641680 is 8614643481.

18434641680 is a `hidden beast` number, since 184 + 3 + 464 + 1 + 6 + 8 + 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 a congruent number.

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, 19590010 + ... + 19590950.

Almost surely, 2^18434641680 is an apocalyptic number.

18434641680 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 18434641680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40015617408).

18434641680 is an abundant number, since it is smaller than the sum of its proper divisors (61596593136).

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

18434641680 is a wasteful number, since it uses less digits than its factorization.

18434641680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 18434641680 in words is "eighteen billion, four hundred thirty-four million, six hundred forty-one thousand, six hundred eighty".