21764309040 has 320 divisors, whose sum is σ = 76513852800. Its totient is φ = 5685313536.

The previous prime is 21764309029. The next prime is 21764309071. The reversal of 21764309040 is 4090346712.

21764309040 is a `hidden beast` number, since 2 + 1 + 7 + 643 + 0 + 9 + 0 + 4 + 0 = 666.

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 = 21764308986 and 21764309004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22837204 + ... + 22838156.

It is an arithmetic number, because the mean of its divisors is an integer number (239105790).

Almost surely, 2^21764309040 is an apocalyptic number.

21764309040 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 21764309040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38256926400).

21764309040 is an abundant number, since it is smaller than the sum of its proper divisors (54749543760).

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

21764309040 is a wasteful number, since it uses less digits than its factorization.

21764309040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 21764309040 in words is "twenty-one billion, seven hundred sixty-four million, three hundred nine thousand, forty".