10674737800 has 48 divisors (see below), whose sum is σ = 24885477540. Its totient is φ = 4258417920.

The previous prime is 10674737783. The next prime is 10674737809. The reversal of 10674737800 is 873747601.

It can be written as a sum of positive squares in 6 ways, for example, as 1576248804 + 9098488996 = 39702^2 + 95386^2 .

It is a super-2 number, since 2×10674737800² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10674737809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3054 + ... + 146146.

Almost surely, 2^10674737800 is an apocalyptic number.

10674737800 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 10674737800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12442738770).

10674737800 is an abundant number, since it is smaller than the sum of its proper divisors (14210739740).

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

10674737800 is a wasteful number, since it uses less digits than its factorization.

10674737800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143482 (or 143473 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 43.

The spelling of 10674737800 in words is "ten billion, six hundred seventy-four million, seven hundred thirty-seven thousand, eight hundred".