949608387840 has 1152 divisors, whose sum is σ = 3696822484992. Its totient is φ = 203206164480.

The previous prime is 949608387799. The next prime is 949608387841. The reversal of 949608387840 is 48783806949.

It is a Smith number, since the sum of its digits (66) 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 (949608387841) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4075572364 + ... + 4075572596.

It is an arithmetic number, because the mean of its divisors is an integer number (3209047296).

Almost surely, 2^949608387840 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 949608387840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848411242496).

949608387840 is an abundant number, since it is smaller than the sum of its proper divisors (2747214097152).

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

949608387840 is a wasteful number, since it uses less digits than its factorization.

949608387840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 66.

The spelling of 949608387840 in words is "nine hundred forty-nine billion, six hundred eight million, three hundred eighty-seven thousand, eight hundred forty".