813740729599644 has 192 divisors, whose sum is σ = 2434644777406464. Its totient is φ = 205384536000000.

The previous prime is 813740729599639. The next prime is 813740729599649. The reversal of 813740729599644 is 446995927047318.

It is an interprime number because it is at equal distance from previous prime (813740729599639) and next prime (813740729599649).

It is a Smith number, since the sum of its digits (78) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 813740729599644.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813740729599649) 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, 33279562 + ... + 52297329.

It is an arithmetic number, because the mean of its divisors is an integer number (12680441548992).

It is a 1-persistent number, because it is pandigital, but 2⋅813740729599644 = 1627481459199288 is not.

Almost surely, 2^{813740729599644} is an apocalyptic number.

813740729599644 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

813740729599644 is an abundant number, since it is smaller than the sum of its proper divisors (1620904047806820).

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

813740729599644 is a wasteful number, since it uses less digits than its factorization.

813740729599644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85577208 (or 85577206 counting only the distinct ones).

The product of its (nonzero) digits is 3292047360, while the sum is 78.

The spelling of 813740729599644 in words is "eight hundred thirteen trillion, seven hundred forty billion, seven hundred twenty-nine million, five hundred ninety-nine thousand, six hundred forty-four".