5465941920 has 288 divisors, whose sum is σ = 19299872592. Its totient is φ = 1407614976.

The previous prime is 5465941919. The next prime is 5465941931. The reversal of 5465941920 is 291495645.

5465941920 is a `hidden beast` number, since 5 + 46 + 594 + 19 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4889365776 + 576576144 = 69924^2 + 24012^2 .

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

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, 9217144 + ... + 9217736.

Almost surely, 2^5465941920 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 5465941920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9649936296).

5465941920 is an abundant number, since it is smaller than the sum of its proper divisors (13833930672).

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

5465941920 is a wasteful number, since it uses less digits than its factorization.

5465941920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 5465941920 is about 73932.0087648104. The cubic root of 5465941920 is about 1761.5230789519.

The spelling of 5465941920 in words is "five billion, four hundred sixty-five million, nine hundred forty-one thousand, nine hundred twenty".