9702091632240 has 400 divisors, whose sum is σ = 38550466183680. Its totient is φ = 2215327034880.

The previous prime is 9702091632179. The next prime is 9702091632253. The reversal of 9702091632240 is 422361902079.

9702091632240 is a `hidden beast` number, since 9 + 7 + 0 + 2 + 0 + 9 + 1 + 632 + 2 + 4 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 43934421 + ... + 44154699.

Almost surely, 2^{9702091632240} is an apocalyptic number.

9702091632240 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 9702091632240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19275233091840).

9702091632240 is an abundant number, since it is smaller than the sum of its proper divisors (28848374551440).

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

9702091632240 is a wasteful number, since it uses less digits than its factorization.

9702091632240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221282 (or 221267 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 9702091632240 in words is "nine trillion, seven hundred two billion, ninety-one million, six hundred thirty-two thousand, two hundred forty".