618916608000 has 1152 divisors, whose sum is σ = 2361845304000. Its totient is φ = 155654553600.

The previous prime is 618916607977. The next prime is 618916608017. The reversal of 618916608000 is 806619816.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3942143922 + ... + 3942144078.

Almost surely, 2^618916608000 is an apocalyptic number.

618916608000 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 618916608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180922652000).

618916608000 is an abundant number, since it is smaller than the sum of its proper divisors (1742928696000).

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

618916608000 is a wasteful number, since it uses less digits than its factorization.

618916608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 618916608000 in words is "six hundred eighteen billion, nine hundred sixteen million, six hundred eight thousand".