18076701428640 has 240 divisors, whose sum is σ = 63800283991752. Its totient is φ = 4820106756096.

The previous prime is 18076701428573. The next prime is 18076701428641. The reversal of 18076701428640 is 4682410767081.

18076701428640 is a `hidden beast` number, since 1 + 80 + 76 + 70 + 1 + 428 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17136321276816 + 940380151824 = 4139604^2 + 969732^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (18076701428641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 215832852 + ... + 215916588.

Almost surely, 2^{18076701428640} is an apocalyptic number.

18076701428640 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 18076701428640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31900141995876).

18076701428640 is an abundant number, since it is smaller than the sum of its proper divisors (45723582563112).

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

18076701428640 is a wasteful number, since it uses less digits than its factorization.

18076701428640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100421 (or 100404 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 18076701428640 in words is "eighteen trillion, seventy-six billion, seven hundred one million, four hundred twenty-eight thousand, six hundred forty".