97733742020640 has 576 divisors, whose sum is σ = 366368291557632. Its totient is φ = 23528236032000.

The previous prime is 97733742020609. The next prime is 97733742020657. The reversal of 97733742020640 is 4602024733779.

97733742020640 is a `hidden beast` number, since 9 + 7 + 7 + 3 + 3 + 7 + 420 + 206 + 4 + 0 = 666.

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, 10516915834 + ... + 10516925126.

It is an arithmetic number, because the mean of its divisors is an integer number (636056061732).

Almost surely, 2^{97733742020640} is an apocalyptic number.

97733742020640 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 97733742020640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183184145778816).

97733742020640 is an abundant number, since it is smaller than the sum of its proper divisors (268634549536992).

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

97733742020640 is a wasteful number, since it uses less digits than its factorization.

97733742020640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13873 (or 13862 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 54.

The spelling of 97733742020640 in words is "ninety-seven trillion, seven hundred thirty-three billion, seven hundred forty-two million, twenty thousand, six hundred forty".