756672081381 has 32 divisors (see below), whose sum is σ = 1174980280320. Its totient is φ = 480351695472.

The previous prime is 756672081377. The next prime is 756672081401. The reversal of 756672081381 is 183180276657.

It is a happy number.

756672081381 is a `hidden beast` number, since 7 + 56 + 6 + 7 + 208 + 1 + 381 = 666.

It is not a de Polignac number, because 756672081381 - 2² = 756672081377 is a prime.

It is a super-2 number, since 2×756672081381² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (756672081311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2593521 + ... + 2870486.

It is an arithmetic number, because the mean of its divisors is an integer number (36718133760).

Almost surely, 2^756672081381 is an apocalyptic number.

It is an amenable number.

756672081381 is a deficient number, since it is larger than the sum of its proper divisors (418308198939).

756672081381 is a wasteful number, since it uses less digits than its factorization.

756672081381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5464262 (or 5464256 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 756672081381 in words is "seven hundred fifty-six billion, six hundred seventy-two million, eighty-one thousand, three hundred eighty-one".