196826672640 has 960 divisors, whose sum is σ = 737568792576. Its totient is φ = 44479217664.

The previous prime is 196826672629. The next prime is 196826672663. The reversal of 196826672640 is 46276628691.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (57).

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 95 ways as a sum of consecutive naturals, for example, 1549816257 + ... + 1549816383.

Almost surely, 2^196826672640 is an apocalyptic number.

196826672640 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 196826672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368784396288).

196826672640 is an abundant number, since it is smaller than the sum of its proper divisors (540742119936).

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

196826672640 is a wasteful number, since it uses less digits than its factorization.

196826672640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 196826672640 in words is "one hundred ninety-six billion, eight hundred twenty-six million, six hundred seventy-two thousand, six hundred forty".