10782403632 has 960 divisors, whose sum is σ = 44370493440. Its totient is φ = 2351462400.

The previous prime is 10782403627. The next prime is 10782403637. The reversal of 10782403632 is 23630428701.

It is a happy number.

10782403632 is a `hidden beast` number, since 10 + 7 + 8 + 2 + 4 + 0 + 3 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (10782403627) and next prime (10782403637).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10782403637) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 84900753 + ... + 84900879.

It is an arithmetic number, because the mean of its divisors is an integer number (46219264).

Almost surely, 2^10782403632 is an apocalyptic number.

10782403632 is a gapful number since it is divisible by the number (12) 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 10782403632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22185246720).

10782403632 is an abundant number, since it is smaller than the sum of its proper divisors (33588089808).

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

10782403632 is a wasteful number, since it uses less digits than its factorization.

10782403632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

It can be divided in two parts, 10782 and 403632, that added together give a palindrome (414414).

The spelling of 10782403632 in words is "ten billion, seven hundred eighty-two million, four hundred three thousand, six hundred thirty-two".