97805740032 has 1920 divisors, whose sum is σ = 426204979200. Its totient is φ = 21499084800.

The previous prime is 97805740027. The next prime is 97805740117. The reversal of 97805740032 is 23004750879.

97805740032 is a `hidden beast` number, since 9 + 78 + 0 + 574 + 0 + 0 + 3 + 2 = 666.

It is a super-2 number, since 2×97805740032² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 97805740032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3155023857 + ... + 3155023887.

It is an arithmetic number, because the mean of its divisors is an integer number (221981760).

Almost surely, 2^97805740032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97805740032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213102489600).

97805740032 is an abundant number, since it is smaller than the sum of its proper divisors (328399239168).

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

97805740032 is a wasteful number, since it uses less digits than its factorization.

97805740032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 97805740032 in words is "ninety-seven billion, eight hundred five million, seven hundred forty thousand, thirty-two".