97484083200 has 1560 divisors, whose sum is σ = 436532857728. Its totient is φ = 21021327360.

The previous prime is 97484083189. The next prime is 97484083201. The reversal of 97484083200 is 238048479.

97484083200 is a `hidden beast` number, since 97 + 484 + 0 + 83 + 2 + 0 + 0 = 666.

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 (97484083201) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1335398364 + ... + 1335398436.

Almost surely, 2^97484083200 is an apocalyptic number.

97484083200 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 97484083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218266428864).

97484083200 is an abundant number, since it is smaller than the sum of its proper divisors (339048774528).

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

97484083200 is a wasteful number, since it uses less digits than its factorization.

97484083200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 97484083200 in words is "ninety-seven billion, four hundred eighty-four million, eighty-three thousand, two hundred".