806497060469760 has 4224 divisors, whose sum is σ = 3319326009753600. Its totient is φ = 187725708656640.

The previous prime is 806497060469747. The next prime is 806497060469761. The reversal of 806497060469760 is 67964060794608.

806497060469760 is a `hidden beast` number, since 8 + 0 + 6 + 4 + 9 + 7 + 0 + 604 + 6 + 9 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806497060469761) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6350370554817 + ... + 6350370554943.

It is an arithmetic number, because the mean of its divisors is an integer number (785825286400).

Almost surely, 2^{806497060469760} is an apocalyptic number.

806497060469760 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 806497060469760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659663004876800).

806497060469760 is an abundant number, since it is smaller than the sum of its proper divisors (2512828949283840).

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

806497060469760 is a wasteful number, since it uses less digits than its factorization.

806497060469760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 72.

The spelling of 806497060469760 in words is "eight hundred six trillion, four hundred ninety-seven billion, sixty million, four hundred sixty-nine thousand, seven hundred sixty".