20360398464 has 672 divisors, whose sum is σ = 72888431940. Its totient is φ = 5643509760.

The previous prime is 20360398463. The next prime is 20360398469. The reversal of 20360398464 is 46489306302.

It can be written as a sum of positive squares in 2 ways, for example, as 18931558464 + 1428840000 = 137592^2 + 37800^2 .

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×20360398464² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20360398463) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 278909532 + ... + 278909604.

Almost surely, 2^20360398464 is an apocalyptic number.

20360398464 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 20360398464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36444215970).

20360398464 is an abundant number, since it is smaller than the sum of its proper divisors (52528033476).

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

20360398464 is an frugal number, since it uses more digits than its factorization.

20360398464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 20360398464 in words is "twenty billion, three hundred sixty million, three hundred ninety-eight thousand, four hundred sixty-four".