806495724540 has 720 divisors, whose sum is σ = 2875551719040. Its totient is φ = 187562200320.

The previous prime is 806495724521. The next prime is 806495724563. The reversal of 806495724540 is 45427594608.

806495724540 is a `hidden beast` number, since 8 + 0 + 6 + 4 + 95 + 7 + 2 + 4 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7537343167 + ... + 7537343273.

It is an arithmetic number, because the mean of its divisors is an integer number (3993821832).

Almost surely, 2^806495724540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806495724540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437775859520).

806495724540 is an abundant number, since it is smaller than the sum of its proper divisors (2069055994500).

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

806495724540 is a wasteful number, since it uses less digits than its factorization.

806495724540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 806495724540 in words is "eight hundred six billion, four hundred ninety-five million, seven hundred twenty-four thousand, five hundred forty".