8050607040 has 448 divisors, whose sum is σ = 32567270400. Its totient is φ = 1640300544.

The previous prime is 8050607011. The next prime is 8050607063. The reversal of 8050607040 is 407060508.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 8050606989 and 8050607007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2168706 + ... + 2172414.

It is an arithmetic number, because the mean of its divisors is an integer number (72694800).

Almost surely, 2^8050607040 is an apocalyptic number.

8050607040 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 8050607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16283635200).

8050607040 is an abundant number, since it is smaller than the sum of its proper divisors (24516663360).

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

8050607040 is a wasteful number, since it uses less digits than its factorization.

8050607040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3772 (or 3762 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 8050607040 is about 89725.1750625208. The cubic root of 8050607040 is about 2004.2083918413.

Adding to 8050607040 its reverse (407060508), we get a palindrome (8457667548).

The spelling of 8050607040 in words is "eight billion, fifty million, six hundred seven thousand, forty".