8001609840 has 960 divisors, whose sum is σ = 35419161600. Its totient is φ = 1647765504.

The previous prime is 8001609829. The next prime is 8001609851. The reversal of 8001609840 is 489061008.

It is a happy number.

8001609840 is a `hidden beast` number, since 8 + 0 + 0 + 1 + 609 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (8001609829) and next prime (8001609851).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8001609795 and 8001609804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46251994 + ... + 46252166.

It is an arithmetic number, because the mean of its divisors is an integer number (36894960).

Almost surely, 2^8001609840 is an apocalyptic number.

8001609840 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 8001609840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17709580800).

8001609840 is an abundant number, since it is smaller than the sum of its proper divisors (27417551760).

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

8001609840 is a wasteful number, since it uses less digits than its factorization.

8001609840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 8001609840 is about 89451.7179264881. The cubic root of 8001609840 is about 2000.1341443358.

It can be divided in two parts, 800160 and 9840, that added together give a 4-th power (810000 = 30⁴).

The spelling of 8001609840 in words is "eight billion, one million, six hundred nine thousand, eight hundred forty".