1542845767680 has 1344 divisors, whose sum is σ = 6486913071360. Its totient is φ = 346816512000.

The previous prime is 1542845767667. The next prime is 1542845767693. The reversal of 1542845767680 is 867675482451.

1542845767680 is a `hidden beast` number, since 1 + 5 + 42 + 8 + 457 + 67 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1542845767667) and next prime (1542845767693).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3847495480 + ... + 3847495880.

Almost surely, 2^{1542845767680} is an apocalyptic number.

1542845767680 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 1542845767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3243456535680).

1542845767680 is an abundant number, since it is smaller than the sum of its proper divisors (4944067303680).

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

1542845767680 is an equidigital number, since it uses as much as digits as its factorization.

1542845767680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 1542845767680 in words is "one trillion, five hundred forty-two billion, eight hundred forty-five million, seven hundred sixty-seven thousand, six hundred eighty".