97997664240 has 640 divisors, whose sum is σ = 403045632000. Its totient is φ = 21417467904.

The previous prime is 97997664223. The next prime is 97997664283. The reversal of 97997664240 is 4246679979.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33005476 + ... + 33008444.

It is an arithmetic number, because the mean of its divisors is an integer number (629758800).

Almost surely, 2^97997664240 is an apocalyptic number.

97997664240 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 97997664240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201522816000).

97997664240 is an abundant number, since it is smaller than the sum of its proper divisors (305047967760).

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

97997664240 is a wasteful number, since it uses less digits than its factorization.

97997664240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3094 (or 3082 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 97997664240 in words is "ninety-seven billion, nine hundred ninety-seven million, six hundred sixty-four thousand, two hundred forty".