617519420712 has 384 divisors, whose sum is σ = 1847506752000. Its totient is φ = 192924426240.

The previous prime is 617519420711. The next prime is 617519420737. The reversal of 617519420712 is 217024915716.

617519420712 is a `hidden beast` number, since 61 + 7 + 519 + 4 + 2 + 0 + 71 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (617519420711) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 271674808 + ... + 271677080.

It is an arithmetic number, because the mean of its divisors is an integer number (4811215500).

Almost surely, 2^617519420712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 617519420712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923753376000).

617519420712 is an abundant number, since it is smaller than the sum of its proper divisors (1229987331288).

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

617519420712 is a wasteful number, since it uses less digits than its factorization.

617519420712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2463 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 617519420712 in words is "six hundred seventeen billion, five hundred nineteen million, four hundred twenty thousand, seven hundred twelve".