618828534240 has 576 divisors, whose sum is σ = 2372967503424. Its totient is φ = 135016906752.

The previous prime is 618828534167. The next prime is 618828534301. The reversal of 618828534240 is 42435828816.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 46116012 + ... + 46129428.

It is an arithmetic number, because the mean of its divisors is an integer number (4119735249).

Almost surely, 2^618828534240 is an apocalyptic number.

618828534240 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 618828534240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186483751712).

618828534240 is an abundant number, since it is smaller than the sum of its proper divisors (1754138969184).

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

618828534240 is a wasteful number, since it uses less digits than its factorization.

618828534240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13539 (or 13524 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 51.

The spelling of 618828534240 in words is "six hundred eighteen billion, eight hundred twenty-eight million, five hundred thirty-four thousand, two hundred forty".