10649492480 has 176 divisors, whose sum is σ = 28055428704. Its totient is φ = 3846635520.

The previous prime is 10649492471. The next prime is 10649492501. The reversal of 10649492480 is 8429494601.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-3 number, since 3×10649492480³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9742814 + ... + 9743906.

Almost surely, 2^10649492480 is an apocalyptic number.

10649492480 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 10649492480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14027714352).

10649492480 is an abundant number, since it is smaller than the sum of its proper divisors (17405936224).

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

10649492480 is a wasteful number, since it uses less digits than its factorization.

10649492480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 47.

The spelling of 10649492480 in words is "ten billion, six hundred forty-nine million, four hundred ninety-two thousand, four hundred eighty".