934842672000 has 768 divisors, whose sum is σ = 3437723315520. Its totient is φ = 243390873600.

The previous prime is 934842671981. The next prime is 934842672007. The reversal of 934842672000 is 276248439.

934842672000 is a `hidden beast` number, since 9 + 348 + 42 + 67 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (934842672007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1187855607 + ... + 1187856393.

Almost surely, 2^934842672000 is an apocalyptic number.

934842672000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 934842672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718861657760).

934842672000 is an abundant number, since it is smaller than the sum of its proper divisors (2502880643520).

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

934842672000 is a wasteful number, since it uses less digits than its factorization.

934842672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 934842672000 in words is "nine hundred thirty-four billion, eight hundred forty-two million, six hundred seventy-two thousand".