10704273408 has 180 divisors, whose sum is σ = 31155518940. Its totient is φ = 3541303296.

The previous prime is 10704273383. The next prime is 10704273421. The reversal of 10704273408 is 80437240701.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5211684864 + 5492588544 = 72192^2 + 74112^2 .

It is a super-2 number, since 2×10704273408² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33767266 + ... + 33767582.

Almost surely, 2^10704273408 is an apocalyptic number.

10704273408 is a gapful number since it is divisible by the number (18) 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 10704273408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15577759470).

10704273408 is an abundant number, since it is smaller than the sum of its proper divisors (20451245532).

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

10704273408 is an equidigital number, since it uses as much as digits as its factorization.

10704273408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 10704273408 in words is "ten billion, seven hundred four million, two hundred seventy-three thousand, four hundred eight".