5407340256 has 72 divisors (see below), whose sum is σ = 15404898600. Its totient is φ = 1799191296.

The previous prime is 5407340249. The next prime is 5407340291. The reversal of 5407340256 is 6520437045.

5407340256 is a `hidden beast` number, since 540 + 73 + 40 + 2 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5407340256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145470 + ... + 178818.

It is an arithmetic number, because the mean of its divisors is an integer number (213956925).

Almost surely, 2^5407340256 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 5407340256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7702449300).

5407340256 is an abundant number, since it is smaller than the sum of its proper divisors (9997558344).

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

5407340256 is a wasteful number, since it uses less digits than its factorization.

5407340256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33928 (or 33917 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 5407340256 is about 73534.6194387378. The cubic root of 5407340256 is about 1755.2052103771.

The spelling of 5407340256 in words is "five billion, four hundred seven million, three hundred forty thousand, two hundred fifty-six".