949880485424640 has 640 divisors, whose sum is σ = 3908079786885120. Its totient is φ = 191010734899200.

The previous prime is 949880485424579. The next prime is 949880485424659. The reversal of 949880485424640 is 46424584088949.

949880485424640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×949880485424640² (a number of 31 digits) contains 22 as substring.

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, 7575330 + ... + 44239649.

It is an arithmetic number, because the mean of its divisors is an integer number (6106374667008).

Almost surely, 2^{949880485424640} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 949880485424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954039893442560).

949880485424640 is an abundant number, since it is smaller than the sum of its proper divisors (2958199301460480).

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

949880485424640 is a wasteful number, since it uses less digits than its factorization.

949880485424640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51815054 (or 51815038 counting only the distinct ones).

The product of its (nonzero) digits is 2548039680, while the sum is 75.

The spelling of 949880485424640 in words is "nine hundred forty-nine trillion, eight hundred eighty billion, four hundred eighty-five million, four hundred twenty-four thousand, six hundred forty".