1749792487968 has 768 divisors, whose sum is σ = 6326595072000. Its totient is φ = 459292114944.

The previous prime is 1749792487939. The next prime is 1749792487973. The reversal of 1749792487968 is 8697842979471.

1749792487968 is a `hidden beast` number, since 1 + 7 + 4 + 9 + 79 + 2 + 487 + 9 + 68 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1883522128 + ... + 1883523056.

It is an arithmetic number, because the mean of its divisors is an integer number (8237754000).

Almost surely, 2^{1749792487968} is an apocalyptic number.

1749792487968 is a gapful number since it is divisible by the number (18) 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 1749792487968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3163297536000).

1749792487968 is an abundant number, since it is smaller than the sum of its proper divisors (4576802584032).

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

1749792487968 is a wasteful number, since it uses less digits than its factorization.

1749792487968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454 (or 1440 counting only the distinct ones).

The product of its digits is 3072577536, while the sum is 81.

The spelling of 1749792487968 in words is "one trillion, seven hundred forty-nine billion, seven hundred ninety-two million, four hundred eighty-seven thousand, nine hundred sixty-eight".