5460781536 has 384 divisors, whose sum is σ = 18805893120. Its totient is φ = 1528450560.

The previous prime is 5460781523. The next prime is 5460781537. The reversal of 5460781536 is 6351870645.

5460781536 is a `hidden beast` number, since 5 + 4 + 607 + 8 + 1 + 5 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5460781491 and 5460781500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5460781537) 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 63 ways as a sum of consecutive naturals, for example, 34781970 + ... + 34782126.

It is an arithmetic number, because the mean of its divisors is an integer number (48973680).

Almost surely, 2^5460781536 is an apocalyptic number.

5460781536 is a gapful number since it is divisible by the number (56) 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 5460781536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9402946560).

5460781536 is an abundant number, since it is smaller than the sum of its proper divisors (13345111584).

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

5460781536 is an equidigital number, since it uses as much as digits as its factorization.

5460781536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 5460781536 is about 73897.1009986183. The cubic root of 5460781536 is about 1760.9685543578.

The spelling of 5460781536 in words is "five billion, four hundred sixty million, seven hundred eighty-one thousand, five hundred thirty-six".