618839807040 has 672 divisors, whose sum is σ = 2757659224320. Its totient is φ = 123695382528.

The previous prime is 618839807023. The next prime is 618839807099. The reversal of 618839807040 is 40708938816.

618839807040 is a `hidden beast` number, since 6 + 188 + 398 + 0 + 70 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4917382 + ... + 5041658.

It is an arithmetic number, because the mean of its divisors is an integer number (4103659560).

Almost surely, 2^618839807040 is an apocalyptic number.

618839807040 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 618839807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378829612160).

618839807040 is an abundant number, since it is smaller than the sum of its proper divisors (2138819417280).

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

618839807040 is a wasteful number, since it uses less digits than its factorization.

618839807040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124339 (or 124326 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 618839807040 in words is "six hundred eighteen billion, eight hundred thirty-nine million, eight hundred seven thousand, forty".