21764007321600 has 336 divisors, whose sum is σ = 76195016050608. Its totient is φ = 5462336471040.

The previous prime is 21764007321599. The next prime is 21764007321601. The reversal of 21764007321600 is 612370046712.

It is an interprime number because it is at equal distance from previous prime (21764007321599) and next prime (21764007321601).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21764007321601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9402942 + ... + 11486658.

It is an arithmetic number, because the mean of its divisors is an integer number (226770881103).

Almost surely, 2^{21764007321600} is an apocalyptic number.

21764007321600 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 21764007321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38097508025304).

21764007321600 is an abundant number, since it is smaller than the sum of its proper divisors (54431008729008).

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

21764007321600 is a wasteful number, since it uses less digits than its factorization.

21764007321600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083773 (or 2083744 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 21764007321600 in words is "twenty-one trillion, seven hundred sixty-four billion, seven million, three hundred twenty-one thousand, six hundred".