756065349540 has 144 divisors (see below), whose sum is σ = 2348730349056. Its totient is φ = 196809312000.

The previous prime is 756065349539. The next prime is 756065349583. The reversal of 756065349540 is 45943560657.

756065349540 is a `hidden beast` number, since 7 + 5 + 6 + 0 + 6 + 53 + 49 + 540 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 997909 + ... + 1583651.

It is an arithmetic number, because the mean of its divisors is an integer number (16310627424).

Almost surely, 2^756065349540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 756065349540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174365174528).

756065349540 is an abundant number, since it is smaller than the sum of its proper divisors (1592664999516).

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

756065349540 is a wasteful number, since it uses less digits than its factorization.

756065349540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585930 (or 585925 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 756065349540 in words is "seven hundred fifty-six billion, sixty-five million, three hundred forty-nine thousand, five hundred forty".