756020532042 has 64 divisors (see below), whose sum is σ = 1770930432000. Its totient is φ = 238411044144.

The previous prime is 756020532041. The next prime is 756020532079. The reversal of 756020532042 is 240235020657.

756020532042 is a `hidden beast` number, since 7 + 5 + 60 + 20 + 532 + 0 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 756020531988 and 756020532006.

It is not an unprimeable number, because it can be changed into a prime (756020532041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225273 + ... + 1250115.

It is an arithmetic number, because the mean of its divisors is an integer number (27670788000).

Almost surely, 2^756020532042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 756020532042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885465216000).

756020532042 is an abundant number, since it is smaller than the sum of its proper divisors (1014909899958).

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

756020532042 is a wasteful number, since it uses less digits than its factorization.

756020532042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025592 (or 1025586 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

Adding to 756020532042 its reverse (240235020657), we get a palindrome (996255552699).

The spelling of 756020532042 in words is "seven hundred fifty-six billion, twenty million, five hundred thirty-two thousand, forty-two".