97744392900 has 756 divisors, whose sum is σ = 399739165056. Its totient is φ = 20297692800.

The previous prime is 97744392887. The next prime is 97744392901. The reversal of 97744392900 is 929344779.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (756).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (97744392901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 61745509 + ... + 61747091.

Almost surely, 2^97744392900 is an apocalyptic number.

97744392900 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 97744392900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199869582528).

97744392900 is an abundant number, since it is smaller than the sum of its proper divisors (301994772156).

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

97744392900 is a wasteful number, since it uses less digits than its factorization.

97744392900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 97744392900 in words is "ninety-seven billion, seven hundred forty-four million, three hundred ninety-two thousand, nine hundred".