5405287680 has 576 divisors, whose sum is σ = 21139211520. Its totient is φ = 1299677184.

The previous prime is 5405287669. The next prime is 5405287697. The reversal of 5405287680 is 867825045.

5405287680 is a `hidden beast` number, since 5 + 40 + 528 + 7 + 6 + 80 = 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23811727 + ... + 23811953.

It is an arithmetic number, because the mean of its divisors is an integer number (36700020).

Almost surely, 2^5405287680 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 5405287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10569605760).

5405287680 is an abundant number, since it is smaller than the sum of its proper divisors (15733923840).

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

5405287680 is a wasteful number, since it uses less digits than its factorization.

5405287680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 5405287680 is about 73520.6615857066. The cubic root of 5405287680 is about 1754.9830957536.

The spelling of 5405287680 in words is "five billion, four hundred five million, two hundred eighty-seven thousand, six hundred eighty".