5351646240 has 192 divisors, whose sum is σ = 19832843520. Its totient is φ = 1343139840.

The previous prime is 5351646193. The next prime is 5351646247. The reversal of 5351646240 is 426461535.

5351646240 is a `hidden beast` number, since 5 + 3 + 5 + 1 + 646 + 2 + 4 + 0 = 666.

It is a super-2 number, since 2×5351646240² = 57280234956212275200, which contains 22 as substring.

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 = 5351646195 and 5351646204.

It is not an unprimeable number, because it can be changed into a prime (5351646247) 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 31 ways as a sum of consecutive naturals, for example, 37005 + ... + 109875.

It is an arithmetic number, because the mean of its divisors is an integer number (103296060).

Almost surely, 2^5351646240 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 5351646240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9916421760).

5351646240 is an abundant number, since it is smaller than the sum of its proper divisors (14481197280).

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

5351646240 is a wasteful number, since it uses less digits than its factorization.

5351646240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72912 (or 72898 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5351646240 is about 73154.9467910407. The cubic root of 5351646240 is about 1749.1583697201.

The spelling of 5351646240 in words is "five billion, three hundred fifty-one million, six hundred forty-six thousand, two hundred forty".