736727670 has 128 divisors (see below), whose sum is σ = 2255662080. Its totient is φ = 167616000.

The previous prime is 736727659. The next prime is 736727699. The reversal of 736727670 is 76727637.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 473614 + ... + 475166.

It is an arithmetic number, because the mean of its divisors is an integer number (17622360).

Almost surely, 2^736727670 is an apocalyptic number.

736727670 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 736727670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127831040).

736727670 is an abundant number, since it is smaller than the sum of its proper divisors (1518934410).

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

736727670 is a wasteful number, since it uses less digits than its factorization.

736727670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 518616, while the sum is 45.

The square root of 736727670 is about 27142.7277553307. The cubic root of 736727670 is about 903.1689400364.

The spelling of 736727670 in words is "seven hundred thirty-six million, seven hundred twenty-seven thousand, six hundred seventy".