97740739200 has 768 divisors, whose sum is σ = 362948019840. Its totient is φ = 22958899200.

The previous prime is 97740739181. The next prime is 97740739219. The reversal of 97740739200 is 293704779.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (97740739181) and next prime (97740739219).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 97740739200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 281673427 + ... + 281673773.

Almost surely, 2^97740739200 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 97740739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181474009920).

97740739200 is an abundant number, since it is smaller than the sum of its proper divisors (265207280640).

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

97740739200 is a wasteful number, since it uses less digits than its factorization.

97740739200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 666792, while the sum is 48.

The spelling of 97740739200 in words is "ninety-seven billion, seven hundred forty million, seven hundred thirty-nine thousand, two hundred".