1075464879984 has 960 divisors, whose sum is σ = 3776008320000. Its totient is φ = 292003937280.

The previous prime is 1075464879953. The next prime is 1075464879991. The reversal of 1075464879984 is 4899784645701.

1075464879984 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 464 + 8 + 79 + 98 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12083875012 + ... + 12083875100.

It is an arithmetic number, because the mean of its divisors is an integer number (3933342000).

Almost surely, 2^{1075464879984} 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 1075464879984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888004160000).

1075464879984 is an abundant number, since it is smaller than the sum of its proper divisors (2700543440016).

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

1075464879984 is a wasteful number, since it uses less digits than its factorization.

1075464879984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 1075464879984 in words is "one trillion, seventy-five billion, four hundred sixty-four million, eight hundred seventy-nine thousand, nine hundred eighty-four".