97574077440 has 1760 divisors, whose sum is σ = 442269907200. Its totient is φ = 20065812480.

The previous prime is 97574077429. The next prime is 97574077487. The reversal of 97574077440 is 4477047579.

97574077440 is a `hidden beast` number, since 97 + 5 + 7 + 40 + 77 + 440 = 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 159 ways as a sum of consecutive naturals, for example, 1599575010 + ... + 1599575070.

It is an arithmetic number, because the mean of its divisors is an integer number (251289720).

Almost surely, 2^97574077440 is an apocalyptic number.

97574077440 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 97574077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221134953600).

97574077440 is an abundant number, since it is smaller than the sum of its proper divisors (344695829760).

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

97574077440 is a wasteful number, since it uses less digits than its factorization.

97574077440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 6914880, while the sum is 54.

The spelling of 97574077440 in words is "ninety-seven billion, five hundred seventy-four million, seventy-seven thousand, four hundred forty".