618608611399680 has 1536 divisors, whose sum is σ = 2551213252224000. Its totient is φ = 140519764131840.

The previous prime is 618608611399621. The next prime is 618608611399693. The reversal of 618608611399680 is 86993116806816.

618608611399680 is a `hidden beast` number, since 6 + 1 + 8 + 608 + 6 + 1 + 1 + 3 + 9 + 9 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×618608611399680² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 618608611399599 and 618608611399608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11736273166 + ... + 11736325874.

It is an arithmetic number, because the mean of its divisors is an integer number (1660946127750).

Almost surely, 2^{618608611399680} is an apocalyptic number.

618608611399680 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 618608611399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275606626112000).

618608611399680 is an abundant number, since it is smaller than the sum of its proper divisors (1932604640824320).

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

618608611399680 is a wasteful number, since it uses less digits than its factorization.

618608611399680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53000 (or 52974 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 72.

The spelling of 618608611399680 in words is "six hundred eighteen trillion, six hundred eight billion, six hundred eleven million, three hundred ninety-nine thousand, six hundred eighty".