18379890337536 has 2304 divisors, whose sum is σ = 73496876544000. Its totient is φ = 4394412933120.

The previous prime is 18379890337519. The next prime is 18379890337547. The reversal of 18379890337536 is 63573309897381.

18379890337536 is a `hidden beast` number, since 1 + 8 + 3 + 7 + 9 + 89 + 0 + 3 + 3 + 7 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 62730001006 + ... + 62730001298.

It is an arithmetic number, because the mean of its divisors is an integer number (31899686000).

Almost surely, 2^{18379890337536} is an apocalyptic number.

18379890337536 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 18379890337536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36748438272000).

18379890337536 is an abundant number, since it is smaller than the sum of its proper divisors (55116986206464).

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

18379890337536 is a wasteful number, since it uses less digits than its factorization.

18379890337536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 617258880, while the sum is 72.

The spelling of 18379890337536 in words is "eighteen trillion, three hundred seventy-nine billion, eight hundred ninety million, three hundred thirty-seven thousand, five hundred thirty-six".