806101154640 has 640 divisors, whose sum is σ = 3002807808000. Its totient is φ = 198104610816.

The previous prime is 806101154561. The next prime is 806101154671. The reversal of 806101154640 is 46451101608.

806101154640 is a `hidden beast` number, since 8 + 0 + 6 + 1 + 0 + 1 + 1 + 5 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 806101154595 and 806101154604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 517062181 + ... + 517063739.

It is an arithmetic number, because the mean of its divisors is an integer number (4691887200).

Almost surely, 2^806101154640 is an apocalyptic number.

806101154640 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 806101154640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501403904000).

806101154640 is an abundant number, since it is smaller than the sum of its proper divisors (2196706653360).

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

806101154640 is a wasteful number, since it uses less digits than its factorization.

806101154640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 806101154640 in words is "eight hundred six billion, one hundred one million, one hundred fifty-four thousand, six hundred forty".