1968217363890 has 48 divisors (see below), whose sum is σ = 5117521090968. Its totient is φ = 524841969408.

The previous prime is 1968217363867. The next prime is 1968217363897. The reversal of 1968217363890 is 983637128691.

1968217363890 is a `hidden beast` number, since 1 + 9 + 6 + 8 + 217 + 36 + 389 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1796052948561 + 172164415329 = 1340169^2 + 414927^2 .

It is not an unprimeable number, because it can be changed into a prime (1968217363897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2799262 + ... + 3431078.

Almost surely, 2^{1968217363890} is an apocalyptic number.

1968217363890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1968217363890 is an abundant number, since it is smaller than the sum of its proper divisors (3149303727078).

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

1968217363890 is a wasteful number, since it uses less digits than its factorization.

1968217363890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666443 (or 666440 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 1968217363890 in words is "one trillion, nine hundred sixty-eight billion, two hundred seventeen million, three hundred sixty-three thousand, eight hundred ninety".