1742279984640 has 3840 divisors, whose sum is σ = 8107581081600. Its totient is φ = 353158299648.

The previous prime is 1742279984609. The next prime is 1742279984777. The reversal of 1742279984640 is 464899722471.

1742279984640 is a `hidden beast` number, since 1 + 7 + 422 + 7 + 99 + 84 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 60078620146 + ... + 60078620174.

It is an arithmetic number, because the mean of its divisors is an integer number (2111349240).

Almost surely, 2^{1742279984640} is an apocalyptic number.

1742279984640 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 1742279984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4053790540800).

1742279984640 is an abundant number, since it is smaller than the sum of its proper divisors (6365301096960).

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

1742279984640 is a wasteful number, since it uses less digits than its factorization.

1742279984640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 1742279984640 in words is "one trillion, seven hundred forty-two billion, two hundred seventy-nine million, nine hundred eighty-four thousand, six hundred forty".