18240879758976 has 1152 divisors, whose sum is σ = 66841092864000. Its totient is φ = 4742533877760.

The previous prime is 18240879758963. The next prime is 18240879758977. The reversal of 18240879758976 is 67985797804281.

18240879758976 is a `hidden beast` number, since 1 + 8 + 2 + 408 + 7 + 97 + 58 + 9 + 76 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 18240879758895 and 18240879758904.

It is not an unprimeable number, because it can be changed into a prime (18240879758977) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4621452235 + ... + 4621456181.

It is an arithmetic number, because the mean of its divisors is an integer number (58021782000).

Almost surely, 2^{18240879758976} is an apocalyptic number.

18240879758976 is a gapful number since it is divisible by the number (16) 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 18240879758976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33420546432000).

18240879758976 is an abundant number, since it is smaller than the sum of its proper divisors (48600213105024).

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

18240879758976 is a wasteful number, since it uses less digits than its factorization.

18240879758976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4170 (or 4148 counting only the distinct ones).

The product of its (nonzero) digits is 3413975040, while the sum is 81.

The spelling of 18240879758976 in words is "eighteen trillion, two hundred forty billion, eight hundred seventy-nine million, seven hundred fifty-eight thousand, nine hundred seventy-six".