619378964568 has 768 divisors, whose sum is σ = 2256508800000. Its totient is φ = 152043816960.

The previous prime is 619378964557. The next prime is 619378964593. The reversal of 619378964568 is 865469873916.

619378964568 is a `hidden beast` number, since 6 + 1 + 93 + 7 + 89 + 6 + 456 + 8 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 619378964496 and 619378964505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 359893948 + ... + 359895668.

It is an arithmetic number, because the mean of its divisors is an integer number (2938162500).

Almost surely, 2^619378964568 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 619378964568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128254400000).

619378964568 is an abundant number, since it is smaller than the sum of its proper divisors (1637129835432).

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

619378964568 is a wasteful number, since it uses less digits than its factorization.

619378964568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845 (or 1824 counting only the distinct ones).

The product of its digits is 470292480, while the sum is 72.

The spelling of 619378964568 in words is "six hundred nineteen billion, three hundred seventy-eight million, nine hundred sixty-four thousand, five hundred sixty-eight".