5465630016 has 504 divisors, whose sum is σ = 20869168320. Its totient is φ = 1334108160.

The previous prime is 5465629993. The next prime is 5465630063. The reversal of 5465630016 is 6100365645.

5465630016 is a `hidden beast` number, since 5 + 4 + 6 + 5 + 630 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×5465630016² = 59746222943600320512, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8293495 + ... + 8294153.

It is an arithmetic number, because the mean of its divisors is an integer number (41407080).

Almost surely, 2^5465630016 is an apocalyptic number.

5465630016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5465630016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10434584160).

5465630016 is an abundant number, since it is smaller than the sum of its proper divisors (15403538304).

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

5465630016 is a wasteful number, since it uses less digits than its factorization.

5465630016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 5465630016 is about 73929.8993371423. The cubic root of 5465630016 is about 1761.4895722813.

The spelling of 5465630016 in words is "five billion, four hundred sixty-five million, six hundred thirty thousand, sixteen".