967999606862400 has 4032 divisors, whose sum is σ = 4564759122432000. Its totient is φ = 200482862469120.

The previous prime is 967999606862389. The next prime is 967999606862413. The reversal of 967999606862400 is 4268606999769.

967999606862400 is a `hidden beast` number, since 9 + 6 + 7 + 9 + 9 + 96 + 0 + 68 + 62 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 967999606862400.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 74928363141 + ... + 74928376059.

Almost surely, 2^{967999606862400} is an apocalyptic number.

967999606862400 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 967999606862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282379561216000).

967999606862400 is an abundant number, since it is smaller than the sum of its proper divisors (3596759515569600).

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

967999606862400 is a wasteful number, since it uses less digits than its factorization.

967999606862400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13018 (or 12978 counting only the distinct ones).

The product of its (nonzero) digits is 3809369088, while the sum is 81.

The spelling of 967999606862400 in words is "nine hundred sixty-seven trillion, nine hundred ninety-nine billion, six hundred six million, eight hundred sixty-two thousand, four hundred".