1768464099720 has 768 divisors, whose sum is σ = 6518830752000. Its totient is φ = 431140631040.

The previous prime is 1768464099709. The next prime is 1768464099737. The reversal of 1768464099720 is 279904648671.

1768464099720 is a `hidden beast` number, since 1 + 7 + 68 + 464 + 0 + 9 + 97 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 915827155 + ... + 915829085.

It is an arithmetic number, because the mean of its divisors is an integer number (8488060875).

Almost surely, 2^{1768464099720} is an apocalyptic number.

1768464099720 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 1768464099720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3259415376000).

1768464099720 is an abundant number, since it is smaller than the sum of its proper divisors (4750366652280).

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

1768464099720 is a wasteful number, since it uses less digits than its factorization.

1768464099720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2030 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 1768464099720 in words is "one trillion, seven hundred sixty-eight billion, four hundred sixty-four million, ninety-nine thousand, seven hundred twenty".