807532413408 has 576 divisors, whose sum is σ = 2759192916480. Its totient is φ = 227569305600.

The previous prime is 807532413403. The next prime is 807532413473. The reversal of 807532413408 is 804314235708.

807532413408 is a `hidden beast` number, since 80 + 7 + 532 + 4 + 1 + 34 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (807532413403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1918129038 + ... + 1918129458.

It is an arithmetic number, because the mean of its divisors is an integer number (4790265480).

Almost surely, 2^807532413408 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 807532413408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379596458240).

807532413408 is an abundant number, since it is smaller than the sum of its proper divisors (1951660503072).

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

807532413408 is a wasteful number, since it uses less digits than its factorization.

807532413408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 807532413408 in words is "eight hundred seven billion, five hundred thirty-two million, four hundred thirteen thousand, four hundred eight".