97293726720 has 440 divisors, whose sum is σ = 350130343200. Its totient is φ = 25834733568.

The previous prime is 97293726707. The next prime is 97293726731. The reversal of 97293726720 is 2762739279.

97293726720 is a `hidden beast` number, since 97 + 293 + 7 + 267 + 2 + 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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 157178571 + ... + 157179189.

It is an arithmetic number, because the mean of its divisors is an integer number (795750780).

Almost surely, 2^97293726720 is an apocalyptic number.

97293726720 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 97293726720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175065171600).

97293726720 is an abundant number, since it is smaller than the sum of its proper divisors (252836616480).

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

97293726720 is a wasteful number, since it uses less digits than its factorization.

97293726720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

The spelling of 97293726720 in words is "ninety-seven billion, two hundred ninety-three million, seven hundred twenty-six thousand, seven hundred twenty".