5465428784640 has 1920 divisors, whose sum is σ = 22787021537280. Its totient is φ = 1241572147200.

The previous prime is 5465428784623. The next prime is 5465428784663. The reversal of 5465428784640 is 464878245645.

It is a happy number.

5465428784640 is a `hidden beast` number, since 5 + 4 + 6 + 542 + 8 + 7 + 8 + 46 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16511869275 + ... + 16511869605.

It is an arithmetic number, because the mean of its divisors is an integer number (11868240384).

Almost surely, 2^{5465428784640} 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 5465428784640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11393510768640).

5465428784640 is an abundant number, since it is smaller than the sum of its proper divisors (17321592752640).

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

5465428784640 is a wasteful number, since it uses less digits than its factorization.

5465428784640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 206438400, while the sum is 63.

The spelling of 5465428784640 in words is "five trillion, four hundred sixty-five billion, four hundred twenty-eight million, seven hundred eighty-four thousand, six hundred forty".