21467678000 has 80 divisors (see below), whose sum is σ = 51941541600. Its totient is φ = 8581664000.

The previous prime is 21467677999. The next prime is 21467678027. The reversal of 21467678000 is 87676412.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×21467678000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5095895 + ... + 5100105.

It is an arithmetic number, because the mean of its divisors is an integer number (649269270).

Almost surely, 2^21467678000 is an apocalyptic number.

21467678000 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 21467678000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25970770800).

21467678000 is an abundant number, since it is smaller than the sum of its proper divisors (30473863600).

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

21467678000 is a wasteful number, since it uses less digits than its factorization.

21467678000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6783 (or 6767 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The spelling of 21467678000 in words is "twenty-one billion, four hundred sixty-seven million, six hundred seventy-eight thousand".