97167672000 has 1344 divisors, whose sum is σ = 426924825600. Its totient is φ = 20603289600.

The previous prime is 97167671977. The next prime is 97167672053. The reversal of 97167672000 is 27676179.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 699047931 + ... + 699048069.

It is an arithmetic number, because the mean of its divisors is an integer number (317652400).

Almost surely, 2^97167672000 is an apocalyptic number.

97167672000 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 97167672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213462412800).

97167672000 is an abundant number, since it is smaller than the sum of its proper divisors (329757153600).

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

97167672000 is a wasteful number, since it uses less digits than its factorization.

97167672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The spelling of 97167672000 in words is "ninety-seven billion, one hundred sixty-seven million, six hundred seventy-two thousand".