867007920753 has 48 divisors (see below), whose sum is σ = 1375721867520. Its totient is φ = 522943679232.

The previous prime is 867007920707. The next prime is 867007920781. The reversal of 867007920753 is 357029700768.

It is not a de Polignac number, because 867007920753 - 2¹⁴ = 867007904369 is a prime.

It is a super-3 number, since 3×867007920753³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 867007920753.

It is not an unprimeable number, because it can be changed into a prime (867007920353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 923950 + ... + 1608632.

It is an arithmetic number, because the mean of its divisors is an integer number (28660872240).

Almost surely, 2^867007920753 is an apocalyptic number.

It is an amenable number.

867007920753 is a deficient number, since it is larger than the sum of its proper divisors (508713946767).

867007920753 is a wasteful number, since it uses less digits than its factorization.

867007920753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684918 (or 684915 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 867007920753 in words is "eight hundred sixty-seven billion, seven million, nine hundred twenty thousand, seven hundred fifty-three".