10674783072 has 384 divisors, whose sum is σ = 35925120000. Its totient is φ = 3060965376.

The previous prime is 10674783059. The next prime is 10674783131. The reversal of 10674783072 is 27038747601.

10674783072 is a `hidden beast` number, since 106 + 7 + 478 + 3 + 0 + 72 = 666.

It is a super-2 number, since 2×10674783072² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8092429 + ... + 8093747.

It is an arithmetic number, because the mean of its divisors is an integer number (93555000).

Almost surely, 2^10674783072 is an apocalyptic number.

10674783072 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 10674783072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17962560000).

10674783072 is an abundant number, since it is smaller than the sum of its proper divisors (25250336928).

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

10674783072 is a wasteful number, since it uses less digits than its factorization.

10674783072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 10674783072 in words is "ten billion, six hundred seventy-four million, seven hundred eighty-three thousand, seventy-two".