812736672000 has 1728 divisors, whose sum is σ = 3197292693504. Its totient is φ = 182476800000.

The previous prime is 812736671933. The next prime is 812736672047. The reversal of 812736672000 is 276637218.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13323551970 + ... + 13323552030.

Almost surely, 2^812736672000 is an apocalyptic number.

812736672000 is a gapful number since it is divisible by the number (80) 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 812736672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598646346752).

812736672000 is an abundant number, since it is smaller than the sum of its proper divisors (2384556021504).

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

812736672000 is a wasteful number, since it uses less digits than its factorization.

812736672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 812736672000 in words is "eight hundred twelve billion, seven hundred thirty-six million, six hundred seventy-two thousand".