819737742720 has 256 divisors, whose sum is σ = 2814889593600. Its totient is φ = 201711181824.

The previous prime is 819737742713. The next prime is 819737742727. The reversal of 819737742720 is 27247737918.

819737742720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (819737742713) and next prime (819737742727).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819737742727) 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, 141844791 + ... + 141850569.

It is an arithmetic number, because the mean of its divisors is an integer number (10995662475).

Almost surely, 2^819737742720 is an apocalyptic number.

819737742720 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 819737742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407444796800).

819737742720 is an abundant number, since it is smaller than the sum of its proper divisors (1995151850880).

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

819737742720 is a wasteful number, since it uses less digits than its factorization.

819737742720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11497 (or 11485 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 57.

The spelling of 819737742720 in words is "eight hundred nineteen billion, seven hundred thirty-seven million, seven hundred forty-two thousand, seven hundred twenty".