813903692700672 has 704 divisors, whose sum is σ = 2845140730122240. Its totient is φ = 225012902510592.

The previous prime is 813903692700619. The next prime is 813903692700673. The reversal of 813903692700672 is 276007296309318.

813903692700672 is a `hidden beast` number, since 8 + 1 + 390 + 36 + 92 + 70 + 0 + 67 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813903692700673) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 890002123 + ... + 890916149.

It is an arithmetic number, because the mean of its divisors is an integer number (4041393082560).

Almost surely, 2^{813903692700672} 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 813903692700672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422570365061120).

813903692700672 is an abundant number, since it is smaller than the sum of its proper divisors (2031237037421568).

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

813903692700672 is a wasteful number, since it uses less digits than its factorization.

813903692700672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914213 (or 914189 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 813903692700672 in words is "eight hundred thirteen trillion, nine hundred three billion, six hundred ninety-two million, seven hundred thousand, six hundred seventy-two".