20393662464 has 768 divisors, whose sum is σ = 75479040000. Its totient is φ = 5311070208.

The previous prime is 20393662463. The next prime is 20393662477. The reversal of 20393662464 is 46426639302.

20393662464 is a `hidden beast` number, since 203 + 9 + 366 + 24 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20393662463) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 345655267 + ... + 345655325.

It is an arithmetic number, because the mean of its divisors is an integer number (98280000).

Almost surely, 2^20393662464 is an apocalyptic number.

20393662464 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 20393662464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37739520000).

20393662464 is an abundant number, since it is smaller than the sum of its proper divisors (55085377536).

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

20393662464 is a wasteful number, since it uses less digits than its factorization.

20393662464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 20393662464 in words is "twenty billion, three hundred ninety-three million, six hundred sixty-two thousand, four hundred sixty-four".