97647635859840 has 2304 divisors, whose sum is σ = 393473603577600. Its totient is φ = 23117985792000.

The previous prime is 97647635859773. The next prime is 97647635859857. The reversal of 97647635859840 is 4895853674679.

97647635859840 is a `hidden beast` number, since 9 + 7 + 6 + 476 + 3 + 58 + 5 + 98 + 4 + 0 = 666.

It is a super-2 number, since 2×97647635859840² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 97647635859840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 157750623051 + ... + 157750623669.

It is an arithmetic number, because the mean of its divisors is an integer number (170778473775).

Almost surely, 2^{97647635859840} is an apocalyptic number.

97647635859840 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 97647635859840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196736801788800).

97647635859840 is an abundant number, since it is smaller than the sum of its proper divisors (295825967717760).

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

97647635859840 is a wasteful number, since it uses less digits than its factorization.

97647635859840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 10973491200, while the sum is 81.

The spelling of 97647635859840 in words is "ninety-seven trillion, six hundred forty-seven billion, six hundred thirty-five million, eight hundred fifty-nine thousand, eight hundred forty".