21737675367424 has 99 divisors (see below), whose sum is σ = 43682880513753. Its totient is φ = 10811919495168.

The previous prime is 21737675367391. The next prime is 21737675367487. The reversal of 21737675367424 is 42476357673712.

The square root of 21737675367424 is 4662368.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14567962240000 + 7169713127424 = 3816800^2 + 2677632^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 54754849594 + ... + 54754849990.

Almost surely, 2^{21737675367424} is an apocalyptic number.

21737675367424 is the 4662368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21737675367424

21737675367424 is an abundant number, since it is smaller than the sum of its proper divisors (21945205146329).

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

21737675367424 is an frugal number, since it uses more digits than its factorization.

21737675367424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 766 counting only the distinct ones).

The product of its digits is 248935680, while the sum is 64.

21737675367424 divided by its sum of digits (64) gives a square (339651177616 = 582796²).

The spelling of 21737675367424 in words is "twenty-one trillion, seven hundred thirty-seven billion, six hundred seventy-five million, three hundred sixty-seven thousand, four hundred twenty-four".