1768369680 has 480 divisors, whose sum is σ = 7487520768. Its totient is φ = 363340800.

The previous prime is 1768369667. The next prime is 1768369709. The reversal of 1768369680 is 869638671.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9258385 + ... + 9258575.

Almost surely, 2^1768369680 is an apocalyptic number.

1768369680 is a gapful number since it is divisible by the number (10) 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 1768369680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3743760384).

1768369680 is an abundant number, since it is smaller than the sum of its proper divisors (5719151088).

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

1768369680 is a wasteful number, since it uses less digits than its factorization.

1768369680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 386 counting only the distinct ones).

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

The square root of 1768369680 is about 42051.9878245964. The cubic root of 1768369680 is about 1209.2729917767.

The spelling of 1768369680 in words is "one billion, seven hundred sixty-eight million, three hundred sixty-nine thousand, six hundred eighty".