846007535040 has 224 divisors, whose sum is σ = 2904593209344. Its totient is φ = 207813427200.

The previous prime is 846007534979. The next prime is 846007535047. The reversal of 846007535040 is 40535700648.

846007535040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 846007534983 and 846007535001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (846007535047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215565 + ... + 1318515.

Almost surely, 2^846007535040 is an apocalyptic number.

846007535040 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 846007535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452296604672).

846007535040 is an abundant number, since it is smaller than the sum of its proper divisors (2058585674304).

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

846007535040 is a wasteful number, since it uses less digits than its factorization.

846007535040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103035 (or 1103025 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 846007535040 in words is "eight hundred forty-six billion, seven million, five hundred thirty-five thousand, forty".