18979440480 has 2160 divisors, whose sum is σ = 97087137840. Its totient is φ = 3448811520.

The previous prime is 18979440439. The next prime is 18979440481. The reversal of 18979440480 is 8404497981.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18979440481) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 998917911 + ... + 998917929.

It is an arithmetic number, because the mean of its divisors is an integer number (44947749).

Almost surely, 2^18979440480 is an apocalyptic number.

18979440480 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 18979440480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48543568920).

18979440480 is an abundant number, since it is smaller than the sum of its proper divisors (78107697360).

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

18979440480 is a wasteful number, since it uses less digits than its factorization.

18979440480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 18979440480 in words is "eighteen billion, nine hundred seventy-nine million, four hundred forty thousand, four hundred eighty".