18997735680 has 1152 divisors, whose sum is σ = 86181580800. Its totient is φ = 3880673280.

The previous prime is 18997735667. The next prime is 18997735681. The reversal of 18997735680 is 8653779981.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (18997735681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 321995491 + ... + 321995549.

It is an arithmetic number, because the mean of its divisors is an integer number (74810400).

Almost surely, 2^18997735680 is an apocalyptic number.

18997735680 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 18997735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43090790400).

18997735680 is an abundant number, since it is smaller than the sum of its proper divisors (67183845120).

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

18997735680 is an equidigital number, since it uses as much as digits as its factorization.

18997735680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 18997735680 in words is "eighteen billion, nine hundred ninety-seven million, seven hundred thirty-five thousand, six hundred eighty".