967499320320 has 1408 divisors, whose sum is σ = 3922065100800. Its totient is φ = 224383205376.

The previous prime is 967499320313. The next prime is 967499320327. The reversal of 967499320320 is 23023994769.

967499320320 is a `hidden beast` number, since 96 + 7 + 499 + 32 + 0 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (967499320313) and next prime (967499320327).

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

It is not an unprimeable number, because it can be changed into a prime (967499320327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3678704509 + ... + 3678704771.

It is an arithmetic number, because the mean of its divisors is an integer number (2785557600).

Almost surely, 2^967499320320 is an apocalyptic number.

967499320320 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 967499320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1961032550400).

967499320320 is an abundant number, since it is smaller than the sum of its proper divisors (2954565780480).

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

967499320320 is a wasteful number, since it uses less digits than its factorization.

967499320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 967499320320 in words is "nine hundred sixty-seven billion, four hundred ninety-nine million, three hundred twenty thousand, three hundred twenty".