10478349755640 has 576 divisors, whose sum is σ = 38101658999040. Its totient is φ = 2493698088960.

The previous prime is 10478349755617. The next prime is 10478349755669. The reversal of 10478349755640 is 4655794387401.

10478349755640 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 8 + 34 + 9 + 7 + 556 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2702693382 + ... + 2702697258.

It is an arithmetic number, because the mean of its divisors is an integer number (66148713540).

Almost surely, 2^{10478349755640} is an apocalyptic number.

10478349755640 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 10478349755640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19050829499520).

10478349755640 is an abundant number, since it is smaller than the sum of its proper divisors (27623309243400).

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

10478349755640 is a wasteful number, since it uses less digits than its factorization.

10478349755640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5384 (or 5364 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 10478349755640 in words is "ten trillion, four hundred seventy-eight billion, three hundred forty-nine million, seven hundred fifty-five thousand, six hundred forty".