1074723760512 has 384 divisors, whose sum is σ = 3481143026400. Its totient is φ = 316248883200.

The previous prime is 1074723760459. The next prime is 1074723760567. The reversal of 1074723760512 is 2150673274701.

1074723760512 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 7 + 2 + 37 + 605 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1074723760512² (a number of 25 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 47 ways as a sum of consecutive naturals, for example, 37567398 + ... + 37595994.

Almost surely, 2^{1074723760512} is an apocalyptic number.

1074723760512 is a gapful number since it is divisible by the number (12) 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 1074723760512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740571513200).

1074723760512 is an abundant number, since it is smaller than the sum of its proper divisors (2406419265888).

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

1074723760512 is a wasteful number, since it uses less digits than its factorization.

1074723760512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28754 (or 28739 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 1074723760512 in words is "one trillion, seventy-four billion, seven hundred twenty-three million, seven hundred sixty thousand, five hundred twelve".