5463901440 has 576 divisors, whose sum is σ = 20927289600. Its totient is φ = 1345683456.

The previous prime is 5463901433. The next prime is 5463901517. The reversal of 5463901440 is 441093645.

5463901440 is a `hidden beast` number, since 5 + 4 + 639 + 0 + 14 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 5463901395 and 5463901404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34801842 + ... + 34801998.

It is an arithmetic number, because the mean of its divisors is an integer number (36332100).

Almost surely, 2^5463901440 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 5463901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10463644800).

5463901440 is an abundant number, since it is smaller than the sum of its proper divisors (15463388160).

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

5463901440 is a wasteful number, since it uses less digits than its factorization.

5463901440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 5463901440 is about 73918.2077704810. The cubic root of 5463901440 is about 1761.3038547679.

The spelling of 5463901440 in words is "five billion, four hundred sixty-three million, nine hundred one thousand, four hundred forty".