840893431680 has 192 divisors, whose sum is σ = 2905189887600. Its totient is φ = 224123977728.

The previous prime is 840893431673. The next prime is 840893431691. The reversal of 840893431680 is 86134398048.

840893431680 is a `hidden beast` number, since 8 + 40 + 8 + 93 + 431 + 6 + 80 = 666.

840893431680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11581731 + ... + 11654109.

Almost surely, 2^840893431680 is an apocalyptic number.

840893431680 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 840893431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452594943800).

840893431680 is an abundant number, since it is smaller than the sum of its proper divisors (2064296455920).

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

840893431680 is a wasteful number, since it uses less digits than its factorization.

840893431680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74421 (or 74406 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 840893431680 in words is "eight hundred forty billion, eight hundred ninety-three million, four hundred thirty-one thousand, six hundred eighty".