840478851072 has 768 divisors, whose sum is σ = 3050353313280. Its totient is φ = 225756315648.

The previous prime is 840478851071. The next prime is 840478851073. The reversal of 840478851072 is 270158874048.

840478851072 is a `hidden beast` number, since 8 + 4 + 0 + 47 + 88 + 510 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (840478851071) and next prime (840478851073).

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (840478851071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 947551813 + ... + 947552699.

It is an arithmetic number, because the mean of its divisors is an integer number (3971814210).

Almost surely, 2^840478851072 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 840478851072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525176656640).

840478851072 is an abundant number, since it is smaller than the sum of its proper divisors (2209874462208).

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

840478851072 is an frugal number, since it uses more digits than its factorization.

840478851072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 54.

The spelling of 840478851072 in words is "eight hundred forty billion, four hundred seventy-eight million, eight hundred fifty-one thousand, seventy-two".