807480544640 has 256 divisors, whose sum is σ = 2457925171200. Its totient is φ = 246326599680.

The previous prime is 807480544583. The next prime is 807480544657. The reversal of 807480544640 is 46445084708.

It is a happy number.

It is a super-2 number, since 2×807480544640² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2141846 + ... + 2490474.

It is an arithmetic number, because the mean of its divisors is an integer number (9601270200).

Almost surely, 2^807480544640 is an apocalyptic number.

807480544640 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 807480544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228962585600).

807480544640 is an abundant number, since it is smaller than the sum of its proper divisors (1650444626560).

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

807480544640 is a wasteful number, since it uses less digits than its factorization.

807480544640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348713 (or 348701 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 50.

The spelling of 807480544640 in words is "eight hundred seven billion, four hundred eighty million, five hundred forty-four thousand, six hundred forty".