21474640000 has 320 divisors, whose sum is σ = 60912751680. Its totient is φ = 7462400000.

The previous prime is 21474639947. The next prime is 21474640001. The reversal of 21474640000 is 4647412.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×21474640000² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21474640001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20239470 + ... + 20240530.

It is an arithmetic number, because the mean of its divisors is an integer number (190352349).

Almost surely, 2^21474640000 is an apocalyptic number.

21474640000 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 21474640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30456375840).

21474640000 is an abundant number, since it is smaller than the sum of its proper divisors (39438111680).

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

21474640000 is a wasteful number, since it uses less digits than its factorization.

21474640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The spelling of 21474640000 in words is "twenty-one billion, four hundred seventy-four million, six hundred forty thousand".