618640957440 has 1008 divisors, whose sum is σ = 2436435460368. Its totient is φ = 143917056000.

The previous prime is 618640957439. The next prime is 618640957477. The reversal of 618640957440 is 44759046816.

618640957440 is a `hidden beast` number, since 6 + 1 + 8 + 64 + 0 + 9 + 574 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10141655010 + ... + 10141655070.

It is an arithmetic number, because the mean of its divisors is an integer number (2417098671).

Almost surely, 2^618640957440 is an apocalyptic number.

618640957440 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 618640957440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218217730184).

618640957440 is an abundant number, since it is smaller than the sum of its proper divisors (1817794502928).

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

618640957440 is a wasteful number, since it uses less digits than its factorization.

618640957440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 618640957440 in words is "six hundred eighteen billion, six hundred forty million, nine hundred fifty-seven thousand, four hundred forty".