21362472768 has 672 divisors, whose sum is σ = 77347267200. Its totient is φ = 5137219584.

The previous prime is 21362472767. The next prime is 21362472811. The reversal of 21362472768 is 86727426312.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21362472763) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67389346 + ... + 67389662.

It is an arithmetic number, because the mean of its divisors is an integer number (115100100).

Almost surely, 2^21362472768 is an apocalyptic number.

21362472768 is a gapful number since it is divisible by the number (28) 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 21362472768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38673633600).

21362472768 is an abundant number, since it is smaller than the sum of its proper divisors (55984794432).

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

21362472768 is a wasteful number, since it uses less digits than its factorization.

21362472768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 390 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 48.

The spelling of 21362472768 in words is "twenty-one billion, three hundred sixty-two million, four hundred seventy-two thousand, seven hundred sixty-eight".