618415937187840 has 1040 divisors, whose sum is σ = 2483763017551200. Its totient is φ = 145866990551040.

The previous prime is 618415937187793. The next prime is 618415937187871. The reversal of 618415937187840 is 48781739514816.

618415937187840 is a `hidden beast` number, since 6 + 1 + 8 + 415 + 93 + 7 + 1 + 87 + 8 + 40 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 674706186 + ... + 675622134.

Almost surely, 2^{618415937187840} is an apocalyptic number.

618415937187840 is a gapful number since it is divisible by the number (60) 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 618415937187840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241881508775600).

618415937187840 is an abundant number, since it is smaller than the sum of its proper divisors (1865347080363360).

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

618415937187840 is a wasteful number, since it uses less digits than its factorization.

618415937187840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916038 (or 916007 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 72.

The spelling of 618415937187840 in words is "six hundred eighteen trillion, four hundred fifteen billion, nine hundred thirty-seven million, one hundred eighty-seven thousand, eight hundred forty".