950173728768 has 512 divisors, whose sum is σ = 3108560976000. Its totient is φ = 284436725760.

The previous prime is 950173728661. The next prime is 950173728769. The reversal of 950173728768 is 867827371059.

950173728768 is a `hidden beast` number, since 9 + 501 + 7 + 37 + 28 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×950173728768² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (950173728769) 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, 866155996 + ... + 866157092.

Almost surely, 2^950173728768 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 950173728768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554280488000).

950173728768 is an abundant number, since it is smaller than the sum of its proper divisors (2158387247232).

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

950173728768 is a wasteful number, since it uses less digits than its factorization.

950173728768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 950173728768 in words is "nine hundred fifty billion, one hundred seventy-three million, seven hundred twenty-eight thousand, seven hundred sixty-eight".