97944668640 has 2304 divisors, whose sum is σ = 473404538880. Its totient is φ = 18542960640.

The previous prime is 97944668629. The next prime is 97944668669. The reversal of 97944668640 is 4686644979.

97944668640 is a `hidden beast` number, since 9 + 7 + 94 + 466 + 86 + 4 + 0 = 666.

It is a super-2 number, since 2×97944668640² (a number of 23 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2083929097 + ... + 2083929143.

It is an arithmetic number, because the mean of its divisors is an integer number (205470720).

Almost surely, 2^97944668640 is an apocalyptic number.

97944668640 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 97944668640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236702269440).

97944668640 is an abundant number, since it is smaller than the sum of its proper divisors (375459870240).

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

97944668640 is a wasteful number, since it uses less digits than its factorization.

97944668640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 97944668640 in words is "ninety-seven billion, nine hundred forty-four million, six hundred sixty-eight thousand, six hundred forty".