10402368064 has 189 divisors, whose sum is σ = 24345386793. Its totient is φ = 4406054400.

The previous prime is 10402368061. The next prime is 10402368077. The reversal of 10402368064 is 46086320401.

The square root of 10402368064 is 101992.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 338265664 + 10064102400 = 18392^2 + 100320^2 .

It is a super-2 number, since 2×10402368064² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10402368061) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 170530594 + ... + 170530654.

Almost surely, 2^10402368064 is an apocalyptic number.

10402368064 is the 101992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10402368064

10402368064 is an abundant number, since it is smaller than the sum of its proper divisors (13943018729).

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

10402368064 is an equidigital number, since it uses as much as digits as its factorization.

10402368064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

Adding to 10402368064 its reverse (46086320401), we get a palindrome (56488688465).

The spelling of 10402368064 in words is "ten billion, four hundred two million, three hundred sixty-eight thousand, sixty-four".