97638589440 has 528 divisors, whose sum is σ = 388103339520. Its totient is φ = 22233415680.

The previous prime is 97638589439. The next prime is 97638589481. The reversal of 97638589440 is 4498583679.

97638589440 is a `hidden beast` number, since 9 + 7 + 6 + 3 + 8 + 589 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 47 ways as a sum of consecutive naturals, for example, 135797401 + ... + 135798119.

Almost surely, 2^97638589440 is an apocalyptic number.

97638589440 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 97638589440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194051669760).

97638589440 is an abundant number, since it is smaller than the sum of its proper divisors (290464750080).

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

97638589440 is a wasteful number, since it uses less digits than its factorization.

97638589440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 97638589440 in words is "ninety-seven billion, six hundred thirty-eight million, five hundred eighty-nine thousand, four hundred forty".