10645724880 has 480 divisors, whose sum is σ = 42907158528. Its totient is φ = 2314137600.

The previous prime is 10645724879. The next prime is 10645724891. The reversal of 10645724880 is 8842754601.

10645724880 is a `hidden beast` number, since 10 + 64 + 572 + 4 + 8 + 8 + 0 = 666.

10645724880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10645724880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9530082 + ... + 9531198.

Almost surely, 2^10645724880 is an apocalyptic number.

10645724880 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 10645724880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21453579264).

10645724880 is an abundant number, since it is smaller than the sum of its proper divisors (32261433648).

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

10645724880 is a wasteful number, since it uses less digits than its factorization.

10645724880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 10645724880 in words is "ten billion, six hundred forty-five million, seven hundred twenty-four thousand, eight hundred eighty".