18814735779840 has 7680 divisors, whose sum is σ = 101266303057920. Its totient is φ = 3210529996800.

The previous prime is 18814735779769. The next prime is 18814735779863. The reversal of 18814735779840 is 4897753741881.

18814735779840 is a `hidden beast` number, since 1 + 8 + 8 + 1 + 4 + 7 + 3 + 577 + 9 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

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 639 ways as a sum of consecutive naturals, for example, 437551994859 + ... + 437551994901.

It is an arithmetic number, because the mean of its divisors is an integer number (13185716544).

Almost surely, 2^{18814735779840} is an apocalyptic number.

18814735779840 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 18814735779840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50633151528960).

18814735779840 is an abundant number, since it is smaller than the sum of its proper divisors (82451567278080).

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

18814735779840 is a wasteful number, since it uses less digits than its factorization.

18814735779840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 379330560, while the sum is 72.

The spelling of 18814735779840 in words is "eighteen trillion, eight hundred fourteen billion, seven hundred thirty-five million, seven hundred seventy-nine thousand, eight hundred forty".