20701384704 has 1248 divisors, whose sum is σ = 87849457920. Its totient is φ = 4671406080.

The previous prime is 20701384699. The next prime is 20701384723. The reversal of 20701384704 is 40748310702.

It is a happy number.

20701384704 is a `hidden beast` number, since 207 + 0 + 1 + 384 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1217728504 + ... + 1217728520.

Almost surely, 2^20701384704 is an apocalyptic number.

20701384704 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 20701384704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43924728960).

20701384704 is an abundant number, since it is smaller than the sum of its proper divisors (67148073216).

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

20701384704 is a wasteful number, since it uses less digits than its factorization.

20701384704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 20701384704 in words is "twenty billion, seven hundred one million, three hundred eighty-four thousand, seven hundred four".