1074932005680 has 960 divisors, whose sum is σ = 4311174067200. Its totient is φ = 237475307520.

The previous prime is 1074932005673. The next prime is 1074932005747. The reversal of 1074932005680 is 865002394701.

1074932005680 is a `hidden beast` number, since 10 + 7 + 49 + 32 + 0 + 0 + 568 + 0 = 666.

It is a super-3 number, since 3×1074932005680³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 445843675 + ... + 445846085.

It is an arithmetic number, because the mean of its divisors is an integer number (4490806320).

It is a 1-persistent number, because it is pandigital, but 2⋅1074932005680 = 2149864011360 is not.

Almost surely, 2^{1074932005680} is an apocalyptic number.

1074932005680 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 1074932005680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155587033600).

1074932005680 is an abundant number, since it is smaller than the sum of its proper divisors (3236242061520).

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

1074932005680 is a wasteful number, since it uses less digits than its factorization.

1074932005680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1074932005680 in words is "one trillion, seventy-four billion, nine hundred thirty-two million, five thousand, six hundred eighty".