949726826496 has 832 divisors, whose sum is σ = 3356207861760. Its totient is φ = 259740794880.

The previous prime is 949726826479. The next prime is 949726826497. The reversal of 949726826496 is 694628627949.

949726826496 is a `hidden beast` number, since 9 + 4 + 9 + 72 + 68 + 2 + 6 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (949726826497) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2033676055 + ... + 2033676521.

It is an arithmetic number, because the mean of its divisors is an integer number (4033903680).

Almost surely, 2^949726826496 is an apocalyptic number.

949726826496 is a gapful number since it is divisible by the number (96) 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 949726826496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678103930880).

949726826496 is an abundant number, since it is smaller than the sum of its proper divisors (2406481035264).

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

949726826496 is a wasteful number, since it uses less digits than its factorization.

949726826496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 587 counting only the distinct ones).

The product of its digits is 564350976, while the sum is 72.

The spelling of 949726826496 in words is "nine hundred forty-nine billion, seven hundred twenty-six million, eight hundred twenty-six thousand, four hundred ninety-six".