1742936578560 has 480 divisors, whose sum is σ = 6107905140480. Its totient is φ = 459292114944.

The previous prime is 1742936578553. The next prime is 1742936578567. The reversal of 1742936578560 is 658756392471.

1742936578560 is a `hidden beast` number, since 1 + 7 + 4 + 2 + 9 + 3 + 6 + 578 + 56 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1742936578553) and next prime (1742936578567).

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (1742936578567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1313440617 + ... + 1313441943.

It is an arithmetic number, because the mean of its divisors is an integer number (12724802376).

It is a 1-persistent number, because it is pandigital, but 2⋅1742936578560 = 3485873157120 is not.

Almost surely, 2^{1742936578560} is an apocalyptic number.

1742936578560 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 1742936578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3053952570240).

1742936578560 is an abundant number, since it is smaller than the sum of its proper divisors (4364968561920).

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

1742936578560 is a wasteful number, since it uses less digits than its factorization.

1742936578560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 1742936578560 in words is "one trillion, seven hundred forty-two billion, nine hundred thirty-six million, five hundred seventy-eight thousand, five hundred sixty".