20402478468768 has 96 divisors (see below), whose sum is σ = 58540065232320. Its totient is φ = 6170422568960.

The previous prime is 20402478468761. The next prime is 20402478468791. The reversal of 20402478468768 is 86786487420402.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×20402478468768² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 20402478468699 and 20402478468708.

It is not an unprimeable number, because it can be changed into a prime (20402478468761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18441405 + ... + 19516412.

It is an arithmetic number, because the mean of its divisors is an integer number (609792346170).

Almost surely, 2^{20402478468768} is an apocalyptic number.

It is an amenable number.

20402478468768 is an abundant number, since it is smaller than the sum of its proper divisors (38137586763552).

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

20402478468768 is a wasteful number, since it uses less digits than its factorization.

20402478468768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37958350 (or 37958342 counting only the distinct ones).

The product of its (nonzero) digits is 231211008, while the sum is 66.

The spelling of 20402478468768 in words is "twenty trillion, four hundred two billion, four hundred seventy-eight million, four hundred sixty-eight thousand, seven hundred sixty-eight".