21465463680 has 384 divisors, whose sum is σ = 75816861120. Its totient is φ = 5595070464.

The previous prime is 21465463633. The next prime is 21465463711. The reversal of 21465463680 is 8636456412.

21465463680 is a `hidden beast` number, since 2 + 1 + 4 + 6 + 5 + 4 + 636 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×21465463680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 57547974 + ... + 57548346.

Almost surely, 2^21465463680 is an apocalyptic number.

21465463680 is a gapful number since it is divisible by the number (20) 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 21465463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37908430560).

21465463680 is an abundant number, since it is smaller than the sum of its proper divisors (54351397440).

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

21465463680 is a wasteful number, since it uses less digits than its factorization.

21465463680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 21465463680 in words is "twenty-one billion, four hundred sixty-five million, four hundred sixty-three thousand, six hundred eighty".