1542739968 has 288 divisors, whose sum is σ = 5560289280. Its totient is φ = 400343040.

The previous prime is 1542739951. The next prime is 1542739997. The reversal of 1542739968 is 8699372451.

1542739968 is a `hidden beast` number, since 1 + 542 + 7 + 3 + 9 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1418721 + ... + 1419807.

It is an arithmetic number, because the mean of its divisors is an integer number (19306560).

Almost surely, 2^1542739968 is an apocalyptic number.

1542739968 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 1542739968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2780144640).

1542739968 is an abundant number, since it is smaller than the sum of its proper divisors (4017549312).

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

1542739968 is a wasteful number, since it uses less digits than its factorization.

1542739968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1110 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 1542739968 is about 39277.7286512344. The cubic root of 1542739968 is about 1155.4848181113.

The spelling of 1542739968 in words is "one billion, five hundred forty-two million, seven hundred thirty-nine thousand, nine hundred sixty-eight".