754642003140 has 60 divisors (see below), whose sum is σ = 2367339918636. Its totient is φ = 201237867072.

The previous prime is 754642003127. The next prime is 754642003147. The reversal of 754642003140 is 41300246457.

754642003140 is a `hidden beast` number, since 7 + 5 + 4 + 642 + 0 + 0 + 3 + 1 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 132414476544 + 622227526596 = 363888^2 + 788814^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 754642003095 and 754642003104.

It is not an unprimeable number, because it can be changed into a prime (754642003147) 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 19 ways as a sum of consecutive naturals, for example, 232912579 + ... + 232915818.

Almost surely, 2^754642003140 is an apocalyptic number.

It is an amenable number.

754642003140 is an abundant number, since it is smaller than the sum of its proper divisors (1612697915496).

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

754642003140 is a wasteful number, since it uses less digits than its factorization.

754642003140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465828418 (or 465828407 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 754642003140 its reverse (41300246457), we get a palindrome (795942249597).

The spelling of 754642003140 in words is "seven hundred fifty-four billion, six hundred forty-two million, three thousand, one hundred forty".