20319324480 has 1344 divisors, whose sum is σ = 92450082816. Its totient is φ = 3981312000.

The previous prime is 20319324479. The next prime is 20319324547. The reversal of 20319324480 is 8442391302.

20319324480 is a `hidden beast` number, since 20 + 3 + 193 + 2 + 448 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 333103650 + ... + 333103710.

It is an arithmetic number, because the mean of its divisors is an integer number (68787264).

Almost surely, 2^20319324480 is an apocalyptic number.

20319324480 is a gapful number since it is divisible by the number (20) 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 20319324480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46225041408).

20319324480 is an abundant number, since it is smaller than the sum of its proper divisors (72130758336).

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

20319324480 is a wasteful number, since it uses less digits than its factorization.

20319324480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 20319324480 in words is "twenty billion, three hundred nineteen million, three hundred twenty-four thousand, four hundred eighty".