967252770432 has 384 divisors, whose sum is σ = 3200908838400. Its totient is φ = 278080266240.

The previous prime is 967252770377. The next prime is 967252770433. The reversal of 967252770432 is 234077252769.

It is a happy number.

967252770432 is a `hidden beast` number, since 9 + 6 + 7 + 2 + 527 + 70 + 43 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (967252770433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13427503 + ... + 13499345.

It is an arithmetic number, because the mean of its divisors is an integer number (8335700100).

Almost surely, 2^967252770432 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 967252770432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600454419200).

967252770432 is an abundant number, since it is smaller than the sum of its proper divisors (2233656067968).

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

967252770432 is a wasteful number, since it uses less digits than its factorization.

967252770432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71936 (or 71921 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 967252770432 in words is "nine hundred sixty-seven billion, two hundred fifty-two million, seven hundred seventy thousand, four hundred thirty-two".