609284874240 has 2016 divisors, whose sum is σ = 2761843518720. Its totient is φ = 121286688768.

The previous prime is 609284874239. The next prime is 609284874251. The reversal of 609284874240 is 42478482906.

609284874240 is a `hidden beast` number, since 60 + 9 + 2 + 84 + 87 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14169415659 + ... + 14169415701.

Almost surely, 2^609284874240 is an apocalyptic number.

609284874240 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 609284874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380921759360).

609284874240 is an abundant number, since it is smaller than the sum of its proper divisors (2152558644480).

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

609284874240 is a wasteful number, since it uses less digits than its factorization.

609284874240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

It can be divided in two parts, 609284 and 874240, that added together give a square (1483524 = 1218²).

The spelling of 609284874240 in words is "six hundred nine billion, two hundred eighty-four million, eight hundred seventy-four thousand, two hundred forty".