20729769984 has 624 divisors, whose sum is σ = 76463312640. Its totient is φ = 5255331840.

The previous prime is 20729769919. The next prime is 20729769997. The reversal of 20729769984 is 48996792702.

20729769984 is a `hidden beast` number, since 207 + 297 + 69 + 9 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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, 190181322 + ... + 190181430.

It is an arithmetic number, because the mean of its divisors is an integer number (122537360).

Almost surely, 2^20729769984 is an apocalyptic number.

20729769984 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 20729769984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38231656320).

20729769984 is an abundant number, since it is smaller than the sum of its proper divisors (55733542656).

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

20729769984 is a wasteful number, since it uses less digits than its factorization.

20729769984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 20729769984 in words is "twenty billion, seven hundred twenty-nine million, seven hundred sixty-nine thousand, nine hundred eighty-four".