10632450360 has 256 divisors, whose sum is σ = 36926668800. Its totient is φ = 2399040000.

The previous prime is 10632450349. The next prime is 10632450371. The reversal of 10632450360 is 6305423601.

It is an interprime number because it is at equal distance from previous prime (10632450349) and next prime (10632450371).

It is a super-2 number, since 2×10632450360² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42360235 + ... + 42360485.

It is an arithmetic number, because the mean of its divisors is an integer number (144244800).

Almost surely, 2^10632450360 is an apocalyptic number.

10632450360 is a gapful number since it is divisible by the number (10) 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 10632450360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18463334400).

10632450360 is an abundant number, since it is smaller than the sum of its proper divisors (26294218440).

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

10632450360 is a wasteful number, since it uses less digits than its factorization.

10632450360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 10632450360 its reverse (6305423601), we get a palindrome (16937873961).

The spelling of 10632450360 in words is "ten billion, six hundred thirty-two million, four hundred fifty thousand, three hundred sixty".