21062384640 has 880 divisors, whose sum is σ = 87027304320. Its totient is φ = 4837294080.

The previous prime is 21062384639. The next prime is 21062384647. The reversal of 21062384640 is 4648326012.

21062384640 is a `hidden beast` number, since 2 + 1 + 0 + 6 + 2 + 3 + 8 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

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

It is a junction number, because it is equal to n+sod(n) for n = 21062384595 and 21062384604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21062384647) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1108546551 + ... + 1108546569.

It is an arithmetic number, because the mean of its divisors is an integer number (98894664).

Almost surely, 2^21062384640 is an apocalyptic number.

21062384640 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 21062384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43513652160).

21062384640 is an abundant number, since it is smaller than the sum of its proper divisors (65964919680).

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

21062384640 is an frugal number, since it uses more digits than its factorization.

21062384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 21062384640 in words is "twenty-one billion, sixty-two million, three hundred eighty-four thousand, six hundred forty".