818051619840 has 1408 divisors, whose sum is σ = 3446663270400. Its totient is φ = 160696369152.

The previous prime is 818051619821. The next prime is 818051619901. The reversal of 818051619840 is 48916150818.

818051619840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4110812061 + ... + 4110812259.

Almost surely, 2^818051619840 is an apocalyptic number.

818051619840 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 818051619840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723331635200).

818051619840 is an abundant number, since it is smaller than the sum of its proper divisors (2628611650560).

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

818051619840 is a wasteful number, since it uses less digits than its factorization.

818051619840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 51.

The spelling of 818051619840 in words is "eight hundred eighteen billion, fifty-one million, six hundred nineteen thousand, eight hundred forty".