967050728064 has 128 divisors (see below), whose sum is σ = 2900932632000. Its totient is φ = 317065743360.

The previous prime is 967050728029. The next prime is 967050728069. The reversal of 967050728064 is 460827050769.

967050728064 is a `hidden beast` number, since 9 + 6 + 70 + 507 + 2 + 8 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×967050728064² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 967050728064.

It is not an unprimeable number, because it can be changed into a prime (967050728069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2082774 + ... + 2504405.

Almost surely, 2^967050728064 is an apocalyptic number.

It is an amenable number.

967050728064 is an abundant number, since it is smaller than the sum of its proper divisors (1933881903936).

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

967050728064 is a wasteful number, since it uses less digits than its factorization.

967050728064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4587263 (or 4587245 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 967050728064 in words is "nine hundred sixty-seven billion, fifty million, seven hundred twenty-eight thousand, sixty-four".