10744978464000 has 864 divisors, whose sum is σ = 42225654481920. Its totient is φ = 2601928704000.

The previous prime is 10744978463977. The next prime is 10744978464013. The reversal of 10744978464000 is 46487944701.

10744978464000 is a `hidden beast` number, since 1 + 0 + 74 + 4 + 97 + 84 + 6 + 400 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4558750822 + ... + 4558753178.

It is an arithmetic number, because the mean of its divisors is an integer number (48872285280).

Almost surely, 2^{10744978464000} is an apocalyptic number.

10744978464000 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 10744978464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21112827240960).

10744978464000 is an abundant number, since it is smaller than the sum of its proper divisors (31480676017920).

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

10744978464000 is a wasteful number, since it uses less digits than its factorization.

10744978464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3844 (or 3817 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 10744978464000 in words is "ten trillion, seven hundred forty-four billion, nine hundred seventy-eight million, four hundred sixty-four thousand".