10737674000 has 80 divisors (see below), whose sum is σ = 26009942400. Its totient is φ = 4287420800.

The previous prime is 10737673981. The next prime is 10737674053. The reversal of 10737674000 is 47673701.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1193519 + ... + 1202481.

It is an arithmetic number, because the mean of its divisors is an integer number (325124280).

Almost surely, 2^10737674000 is an apocalyptic number.

10737674000 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 10737674000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13004971200).

10737674000 is an abundant number, since it is smaller than the sum of its proper divisors (15272268400).

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

10737674000 is an equidigital number, since it uses as much as digits as its factorization.

10737674000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9585 (or 9569 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 35.

The spelling of 10737674000 in words is "ten billion, seven hundred thirty-seven million, six hundred seventy-four thousand".