97954384320 has 448 divisors, whose sum is σ = 375800355840. Its totient is φ = 23874932736.

The previous prime is 97954384301. The next prime is 97954384331. The reversal of 97954384320 is 2348345979.

97954384320 is a `hidden beast` number, since 9 + 79 + 543 + 8 + 4 + 3 + 20 = 666.

It is a super-2 number, since 2×97954384320² (a number of 23 digits) contains 22 as substring.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11564727 + ... + 11573193.

It is an arithmetic number, because the mean of its divisors is an integer number (838840080).

Almost surely, 2^97954384320 is an apocalyptic number.

97954384320 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 97954384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187900177920).

97954384320 is an abundant number, since it is smaller than the sum of its proper divisors (277845971520).

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

97954384320 is a wasteful number, since it uses less digits than its factorization.

97954384320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8609 (or 8593 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 97954384320 in words is "ninety-seven billion, nine hundred fifty-four million, three hundred eighty-four thousand, three hundred twenty".