97233776640 has 2496 divisors, whose sum is σ = 494599053312. Its totient is φ = 16986931200.

The previous prime is 97233776611. The next prime is 97233776641. The reversal of 97233776640 is 4667733279.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97233776641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3136573425 + ... + 3136573455.

It is an arithmetic number, because the mean of its divisors is an integer number (198156672).

Almost surely, 2^97233776640 is an apocalyptic number.

97233776640 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 97233776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247299526656).

97233776640 is an abundant number, since it is smaller than the sum of its proper divisors (397365276672).

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

97233776640 is a wasteful number, since it uses less digits than its factorization.

97233776640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 8001504, while the sum is 54.

The spelling of 97233776640 in words is "ninety-seven billion, two hundred thirty-three million, seven hundred seventy-six thousand, six hundred forty".