5435745840 has 320 divisors, whose sum is σ = 22090014720. Its totient is φ = 1202273280.

The previous prime is 5435745817. The next prime is 5435745857. The reversal of 5435745840 is 485475345.

5435745840 is a `hidden beast` number, since 543 + 57 + 4 + 58 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 462922 + ... + 474518.

It is an arithmetic number, because the mean of its divisors is an integer number (69031296).

Almost surely, 2^5435745840 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 5435745840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11045007360).

5435745840 is an abundant number, since it is smaller than the sum of its proper divisors (16654268880).

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

5435745840 is a wasteful number, since it uses less digits than its factorization.

5435745840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11657 (or 11645 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The square root of 5435745840 is about 73727.5107405641. The cubic root of 5435745840 is about 1758.2732979110.

The spelling of 5435745840 in words is "five billion, four hundred thirty-five million, seven hundred forty-five thousand, eight hundred forty".