618086877408 has 1728 divisors, whose sum is σ = 2570808554496. Its totient is φ = 135762739200.

The previous prime is 618086877407. The next prime is 618086877449. The reversal of 618086877408 is 804778680816.

618086877408 is a `hidden beast` number, since 6 + 1 + 80 + 86 + 8 + 77 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (618086877407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6372029616 + ... + 6372029712.

It is an arithmetic number, because the mean of its divisors is an integer number (1487736432).

Almost surely, 2^618086877408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 618086877408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285404277248).

618086877408 is an abundant number, since it is smaller than the sum of its proper divisors (1952721677088).

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

618086877408 is a wasteful number, since it uses less digits than its factorization.

618086877408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 63.

The spelling of 618086877408 in words is "six hundred eighteen billion, eighty-six million, eight hundred seventy-seven thousand, four hundred eight".