20437788672 has 576 divisors, whose sum is σ = 74319336000. Its totient is φ = 5518098432.

The previous prime is 20437788667. The next prime is 20437788677. The reversal of 20437788672 is 27688773402.

20437788672 is a `hidden beast` number, since 204 + 377 + 8 + 8 + 67 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (20437788667) and next prime (20437788677).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (20437788677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51480378 + ... + 51480774.

It is an arithmetic number, because the mean of its divisors is an integer number (129026625).

Almost surely, 2^20437788672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20437788672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37159668000).

20437788672 is an abundant number, since it is smaller than the sum of its proper divisors (53881547328).

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

20437788672 is a wasteful number, since it uses less digits than its factorization.

20437788672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 20437788672 in words is "twenty billion, four hundred thirty-seven million, seven hundred eighty-eight thousand, six hundred seventy-two".