97667856000 has 2560 divisors, whose sum is σ = 465781155840. Its totient is φ = 19906560000.

The previous prime is 97667855993. The next prime is 97667856001. The reversal of 97667856000 is 65876679.

It is a happy number.

97667856000 is a `hidden beast` number, since 9 + 7 + 6 + 6 + 78 + 560 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97667856001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3150575985 + ... + 3150576015.

It is an arithmetic number, because the mean of its divisors is an integer number (181945764).

Almost surely, 2^97667856000 is an apocalyptic number.

97667856000 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 97667856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232890577920).

97667856000 is an abundant number, since it is smaller than the sum of its proper divisors (368113299840).

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

97667856000 is a wasteful number, since it uses less digits than its factorization.

97667856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 97667856000 in words is "ninety-seven billion, six hundred sixty-seven million, eight hundred fifty-six thousand".