5410289664 has 288 divisors, whose sum is σ = 17129745360. Its totient is φ = 1634992128.

The previous prime is 5410289659. The next prime is 5410289671. The reversal of 5410289664 is 4669820145.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16054104 + ... + 16054440.

Almost surely, 2^5410289664 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 5410289664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8564872680).

5410289664 is an abundant number, since it is smaller than the sum of its proper divisors (11719455696).

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

5410289664 is a wasteful number, since it uses less digits than its factorization.

5410289664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 5410289664 is about 73554.6712588670. The cubic root of 5410289664 is about 1755.5242751487.

The spelling of 5410289664 in words is "five billion, four hundred ten million, two hundred eighty-nine thousand, six hundred sixty-four".