18758827376640 has 2592 divisors, whose sum is σ = 79207040124576. Its totient is φ = 4239938027520.

The previous prime is 18758827376617. The next prime is 18758827376677. The reversal of 18758827376640 is 4667372885781.

18758827376640 is a `hidden beast` number, since 1 + 8 + 7 + 588 + 2 + 7 + 37 + 6 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-3 number, since 3×18758827376640³ (a number of 41 digits) contains 333 as substring.

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 143 ways as a sum of consecutive naturals, for example, 457532375020 + ... + 457532375060.

It is an arithmetic number, because the mean of its divisors is an integer number (30558271653).

Almost surely, 2^{18758827376640} is an apocalyptic number.

18758827376640 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 18758827376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39603520062288).

18758827376640 is an abundant number, since it is smaller than the sum of its proper divisors (60448212747936).

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

18758827376640 is an frugal number, since it uses more digits than its factorization.

18758827376640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 758661120, while the sum is 72.

The spelling of 18758827376640 in words is "eighteen trillion, seven hundred fifty-eight billion, eight hundred twenty-seven million, three hundred seventy-six thousand, six hundred forty".