845997834240 has 1024 divisors, whose sum is σ = 3318818227200. Its totient is φ = 203163697152.

The previous prime is 845997834239. The next prime is 845997834271. The reversal of 845997834240 is 42438799548.

845997834240 is a `hidden beast` number, since 8 + 4 + 599 + 7 + 8 + 34 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2702868324 + ... + 2702868636.

It is an arithmetic number, because the mean of its divisors is an integer number (3241033425).

Almost surely, 2^845997834240 is an apocalyptic number.

845997834240 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 845997834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659409113600).

845997834240 is an abundant number, since it is smaller than the sum of its proper divisors (2472820392960).

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

845997834240 is a wasteful number, since it uses less digits than its factorization.

845997834240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 845997834240 in words is "eight hundred forty-five billion, nine hundred ninety-seven million, eight hundred thirty-four thousand, two hundred forty".