967045024260 has 720 divisors, whose sum is σ = 3725949205440. Its totient is φ = 208770670080.

The previous prime is 967045024247. The next prime is 967045024261. The reversal of 967045024260 is 62420540769.

967045024260 is a `hidden beast` number, since 96 + 70 + 450 + 2 + 42 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (967045024261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 634959859 + ... + 634961381.

It is an arithmetic number, because the mean of its divisors is an integer number (5174929452).

Almost surely, 2^967045024260 is an apocalyptic number.

967045024260 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 967045024260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862974602720).

967045024260 is an abundant number, since it is smaller than the sum of its proper divisors (2758904181180).

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

967045024260 is a wasteful number, since it uses less digits than its factorization.

967045024260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 967045024260 in words is "nine hundred sixty-seven billion, forty-five million, twenty-four thousand, two hundred sixty".