18768457391040 has 896 divisors, whose sum is σ = 79318385879040. Its totient is φ = 4087944806400.

The previous prime is 18768457391003. The next prime is 18768457391149. The reversal of 18768457391040 is 4019375486781.

18768457391040 is a `hidden beast` number, since 1 + 8 + 7 + 6 + 8 + 4 + 573 + 9 + 10 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 106538230 + ... + 106714250.

It is an arithmetic number, because the mean of its divisors is an integer number (88524984240).

Almost surely, 2^{18768457391040} is an apocalyptic number.

18768457391040 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 18768457391040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39659192939520).

18768457391040 is an abundant number, since it is smaller than the sum of its proper divisors (60549928488000).

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

18768457391040 is a wasteful number, since it uses less digits than its factorization.

18768457391040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176138 (or 176122 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 18768457391040 in words is "eighteen trillion, seven hundred sixty-eight billion, four hundred fifty-seven million, three hundred ninety-one thousand, forty".