97260706792440 has 256 divisors, whose sum is σ = 338326394572800. Its totient is φ = 24806453962752.

The previous prime is 97260706792393. The next prime is 97260706792451. The reversal of 97260706792440 is 4429760706279.

97260706792440 is a `hidden beast` number, since 9 + 7 + 2 + 60 + 70 + 67 + 9 + 2 + 440 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 308678257 + ... + 308993183.

It is an arithmetic number, because the mean of its divisors is an integer number (1321587478800).

Almost surely, 2^{97260706792440} is an apocalyptic number.

97260706792440 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 97260706792440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169163197286400).

97260706792440 is an abundant number, since it is smaller than the sum of its proper divisors (241065687780360).

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

97260706792440 is a wasteful number, since it uses less digits than its factorization.

97260706792440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327403 (or 327393 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 97260706792440 in words is "ninety-seven trillion, two hundred sixty billion, seven hundred six million, seven hundred ninety-two thousand, four hundred forty".