609857419680 has 192 divisors, whose sum is σ = 2135363368320. Its totient is φ = 162562940928.

The previous prime is 609857419657. The next prime is 609857419687. The reversal of 609857419680 is 86914758906.

609857419680 is a `hidden beast` number, since 6 + 0 + 98 + 57 + 419 + 6 + 80 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (609857419687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11174539 + ... + 11228981.

It is an arithmetic number, because the mean of its divisors is an integer number (11121684210).

Almost surely, 2^609857419680 is an apocalyptic number.

609857419680 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 609857419680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067681684160).

609857419680 is an abundant number, since it is smaller than the sum of its proper divisors (1525505948640).

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

609857419680 is a wasteful number, since it uses less digits than its factorization.

609857419680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57060 (or 57046 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 609857419680 in words is "six hundred nine billion, eight hundred fifty-seven million, four hundred nineteen thousand, six hundred eighty".