617968431360 has 432 divisors, whose sum is σ = 2550965961600. Its totient is φ = 141249540096.

The previous prime is 617968431323. The next prime is 617968431371. The reversal of 617968431360 is 63134869716.

It is a happy number.

617968431360 is a `hidden beast` number, since 6 + 179 + 6 + 8 + 431 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 617968431297 and 617968431306.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1510981 + ... + 1875899.

It is an arithmetic number, because the mean of its divisors is an integer number (5905013800).

Almost surely, 2^617968431360 is an apocalyptic number.

617968431360 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 617968431360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275482980800).

617968431360 is an abundant number, since it is smaller than the sum of its proper divisors (1932997530240).

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

617968431360 is a wasteful number, since it uses less digits than its factorization.

617968431360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364963 (or 364936 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 617968431360 in words is "six hundred seventeen billion, nine hundred sixty-eight million, four hundred thirty-one thousand, three hundred sixty".