673970636064 has 192 divisors, whose sum is σ = 1954427771520. Its totient is φ = 201655787520.

The previous prime is 673970636063. The next prime is 673970636071. The reversal of 673970636064 is 460636079376.

673970636064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×673970636064³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 673970635995 and 673970636013.

It is not an unprimeable number, because it can be changed into a prime (673970636063) 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, 72644994 + ... + 72654270.

It is an arithmetic number, because the mean of its divisors is an integer number (10179311310).

Almost surely, 2^673970636064 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 673970636064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977213885760).

673970636064 is an abundant number, since it is smaller than the sum of its proper divisors (1280457135456).

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

673970636064 is a wasteful number, since it uses less digits than its factorization.

673970636064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10163 (or 10155 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 57.

The spelling of 673970636064 in words is "six hundred seventy-three billion, nine hundred seventy million, six hundred thirty-six thousand, sixty-four".