5344657920 has 480 divisors, whose sum is σ = 21857172480. Its totient is φ = 1181122560.

The previous prime is 5344657849. The next prime is 5344657933. The reversal of 5344657920 is 297564435.

5344657920 is a `hidden beast` number, since 5 + 34 + 46 + 579 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 4999146 + ... + 5000214.

It is an arithmetic number, because the mean of its divisors is an integer number (45535776).

Almost surely, 2^5344657920 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 5344657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10928586240).

5344657920 is an abundant number, since it is smaller than the sum of its proper divisors (16512514560).

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

5344657920 is a wasteful number, since it uses less digits than its factorization.

5344657920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 5344657920 is about 73107.1673640827. The cubic root of 5344657920 is about 1748.3966724529.

The spelling of 5344657920 in words is "five billion, three hundred forty-four million, six hundred fifty-seven thousand, nine hundred twenty".