1542786840672 has 576 divisors, whose sum is σ = 5278432158720. Its totient is φ = 390013747200.

The previous prime is 1542786840607. The next prime is 1542786840697. The reversal of 1542786840672 is 2760486872451.

It is a super-3 number, since 3×1542786840672³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 306166729 + ... + 306171767.

It is an arithmetic number, because the mean of its divisors is an integer number (9163944720).

Almost surely, 2^{1542786840672} is an apocalyptic number.

1542786840672 is a gapful number since it is divisible by the number (12) 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 1542786840672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2639216079360).

1542786840672 is an abundant number, since it is smaller than the sum of its proper divisors (3735645318048).

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

1542786840672 is a wasteful number, since it uses less digits than its factorization.

1542786840672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5235 (or 5220 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 60.

The spelling of 1542786840672 in words is "one trillion, five hundred forty-two billion, seven hundred eighty-six million, eight hundred forty thousand, six hundred seventy-two".