1968764616 has 384 divisors, whose sum is σ = 7044710400. Its totient is φ = 501085440.

The previous prime is 1968764599. The next prime is 1968764621. The reversal of 1968764616 is 6164678691.

It is a happy number.

1968764616 is a `hidden beast` number, since 19 + 6 + 8 + 7 + 6 + 4 + 616 = 666.

It is a super-2 number, since 2×1968764616² = 7752068226427254912, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5483845 + ... + 5484203.

It is an arithmetic number, because the mean of its divisors is an integer number (18345600).

Almost surely, 2^1968764616 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 1968764616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3522355200).

1968764616 is an abundant number, since it is smaller than the sum of its proper divisors (5075945784).

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

1968764616 is a wasteful number, since it uses less digits than its factorization.

1968764616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 415 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 1968764616 is about 44370.7630766026. The cubic root of 1968764616 is about 1253.3275852938.

The spelling of 1968764616 in words is "one billion, nine hundred sixty-eight million, seven hundred sixty-four thousand, six hundred sixteen".