20937404464704 has 1344 divisors, whose sum is σ = 78215006757888. Its totient is φ = 5204238336000.

The previous prime is 20937404464679. The next prime is 20937404464721. The reversal of 20937404464704 is 40746440473902.

20937404464704 is a `hidden beast` number, since 2 + 0 + 93 + 7 + 40 + 4 + 46 + 470 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45417363034 + ... + 45417363494.

It is an arithmetic number, because the mean of its divisors is an integer number (58195689552).

Almost surely, 2^{20937404464704} is an apocalyptic number.

20937404464704 is a gapful number since it is divisible by the number (24) 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 20937404464704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39107503378944).

20937404464704 is an abundant number, since it is smaller than the sum of its proper divisors (57277602293184).

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

20937404464704 is a wasteful number, since it uses less digits than its factorization.

20937404464704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 54.

The spelling of 20937404464704 in words is "twenty trillion, nine hundred thirty-seven billion, four hundred four million, four hundred sixty-four thousand, seven hundred four".