10446036480 has 480 divisors, whose sum is σ = 40817700000. Its totient is φ = 2530344960.

The previous prime is 10446036479. The next prime is 10446036493. The reversal of 10446036480 is 8463064401.

10446036480 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 6 + 0 + 3 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8362896 + ... + 8364144.

It is an arithmetic number, because the mean of its divisors is an integer number (85036875).

Almost surely, 2^10446036480 is an apocalyptic number.

10446036480 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 10446036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20408850000).

10446036480 is an abundant number, since it is smaller than the sum of its proper divisors (30371663520).

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

10446036480 is a wasteful number, since it uses less digits than its factorization.

10446036480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 10446036480 in words is "ten billion, four hundred forty-six million, thirty-six thousand, four hundred eighty".