18375688477440 has 3456 divisors, whose sum is σ = 83542163927040. Its totient is φ = 3801356697600.

The previous prime is 18375688477411. The next prime is 18375688477607. The reversal of 18375688477440 is 4477488657381.

18375688477440 is a `hidden beast` number, since 1 + 8 + 3 + 75 + 6 + 88 + 477 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 59085814885 + ... + 59085815195.

It is an arithmetic number, because the mean of its divisors is an integer number (24173079840).

Almost surely, 2^{18375688477440} is an apocalyptic number.

18375688477440 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 18375688477440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41771081963520).

18375688477440 is an abundant number, since it is smaller than the sum of its proper divisors (65166475449600).

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

18375688477440 is a wasteful number, since it uses less digits than its factorization.

18375688477440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 1011548160, while the sum is 72.

The spelling of 18375688477440 in words is "eighteen trillion, three hundred seventy-five billion, six hundred eighty-eight million, four hundred seventy-seven thousand, four hundred forty".