1768957719480 has 384 divisors, whose sum is σ = 6980702601600. Its totient is φ = 379247394816.

The previous prime is 1768957719449. The next prime is 1768957719499. The reversal of 1768957719480 is 849177598671.

1768957719480 is a `hidden beast` number, since 1 + 7 + 6 + 8 + 9 + 577 + 1 + 9 + 48 + 0 = 666.

It is a super-2 number, since 2×1768957719480² (a number of 25 digits) contains 22 as substring.

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 = 1768957719399 and 1768957719408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12481656 + ... + 12622584.

It is an arithmetic number, because the mean of its divisors is an integer number (18178913025).

Almost surely, 2^{1768957719480} is an apocalyptic number.

1768957719480 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 1768957719480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3490351300800).

1768957719480 is an abundant number, since it is smaller than the sum of its proper divisors (5211744882120).

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

1768957719480 is a wasteful number, since it uses less digits than its factorization.

1768957719480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141263 (or 141256 counting only the distinct ones).

The product of its (nonzero) digits is 213373440, while the sum is 72.

The spelling of 1768957719480 in words is "one trillion, seven hundred sixty-eight billion, nine hundred fifty-seven million, seven hundred nineteen thousand, four hundred eighty".