97621819674624 has 1820 divisors, whose sum is σ = 354240146260308. Its totient is φ = 26765564313600.

The previous prime is 97621819674559. The next prime is 97621819674641. The reversal of 97621819674624 is 42647691812679.

97621819674624 is a `hidden beast` number, since 9 + 7 + 6 + 21 + 81 + 9 + 67 + 462 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3903311462400 + 93718508212224 = 1975680^2 + 9680832^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

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 139 ways as a sum of consecutive naturals, for example, 1600357699554 + ... + 1600357699614.

Almost surely, 2^{97621819674624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97621819674624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177120073130154).

97621819674624 is an abundant number, since it is smaller than the sum of its proper divisors (256618326585684).

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

97621819674624 is an frugal number, since it uses more digits than its factorization.

97621819674624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 114 counting only the distinct ones).

The product of its digits is 438939648, while the sum is 72.

The spelling of 97621819674624 in words is "ninety-seven trillion, six hundred twenty-one billion, eight hundred nineteen million, six hundred seventy-four thousand, six hundred twenty-four".