97745428080 has 640 divisors, whose sum is σ = 354217328640. Its totient is φ = 25066589184.

The previous prime is 97745428069. The next prime is 97745428111. The reversal of 97745428080 is 8082454779.

It is a happy number.

97745428080 is a `hidden beast` number, since 97 + 7 + 4 + 542 + 8 + 0 + 8 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 769648977 + ... + 769649103.

It is an arithmetic number, because the mean of its divisors is an integer number (553464576).

Almost surely, 2^97745428080 is an apocalyptic number.

97745428080 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 97745428080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177108664320).

97745428080 is an abundant number, since it is smaller than the sum of its proper divisors (256471900560).

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

97745428080 is a wasteful number, since it uses less digits than its factorization.

97745428080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

It can be divided in two parts, 97745 and 428080, that added together give a triangular number (525825 = T₁₀₂₅).

The spelling of 97745428080 in words is "ninety-seven billion, seven hundred forty-five million, four hundred twenty-eight thousand, eighty".