840051890496 has 672 divisors, whose sum is σ = 3170515944960. Its totient is φ = 206348746752.

The previous prime is 840051890473. The next prime is 840051890519. The reversal of 840051890496 is 694098150048.

840051890496 is a `hidden beast` number, since 84 + 0 + 0 + 518 + 9 + 0 + 49 + 6 = 666.

840051890496 is digitally balanced in base 2 and base 4, because in such bases 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 (840051890473) and next prime (840051890519).

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86429125 + ... + 86438843.

It is an arithmetic number, because the mean of its divisors is an integer number (4718029680).

Almost surely, 2^840051890496 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 840051890496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585257972480).

840051890496 is an abundant number, since it is smaller than the sum of its proper divisors (2330464054464).

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

840051890496 is a wasteful number, since it uses less digits than its factorization.

840051890496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9871 (or 9858 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 840051890496 in words is "eight hundred forty billion, fifty-one million, eight hundred ninety thousand, four hundred ninety-six".