97432826400 has 2160 divisors, whose sum is σ = 464973239808. Its totient is φ = 19408896000.

The previous prime is 97432826377. The next prime is 97432826401. The reversal of 97432826400 is 462823479.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97432826401) by changing a digit.

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 359 ways as a sum of consecutive naturals, for example, 2376410380 + ... + 2376410420.

Almost surely, 2^97432826400 is an apocalyptic number.

97432826400 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 97432826400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232486619904).

97432826400 is an abundant number, since it is smaller than the sum of its proper divisors (367540413408).

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

97432826400 is a wasteful number, since it uses less digits than its factorization.

97432826400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 97432826400 in words is "ninety-seven billion, four hundred thirty-two million, eight hundred twenty-six thousand, four hundred".