949805737728 has 288 divisors, whose sum is σ = 2652182519616. Its totient is φ = 301433094144.

The previous prime is 949805737649. The next prime is 949805737729. The reversal of 949805737728 is 827737508949.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (949805737729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 868989150 + ... + 868990242.

It is an arithmetic number, because the mean of its divisors is an integer number (9208967082).

Almost surely, 2^949805737728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 949805737728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326091259808).

949805737728 is an abundant number, since it is smaller than the sum of its proper divisors (1702376781888).

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

949805737728 is a wasteful number, since it uses less digits than its factorization.

949805737728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 213373440, while the sum is 69.

The spelling of 949805737728 in words is "nine hundred forty-nine billion, eight hundred five million, seven hundred thirty-seven thousand, seven hundred twenty-eight".