9746851487040 has 560 divisors, whose sum is σ = 36798650968464. Its totient is φ = 2440411545600.

The previous prime is 9746851487011. The next prime is 9746851487047. The reversal of 9746851487040 is 407841586479.

9746851487040 is a `hidden beast` number, since 9 + 7 + 4 + 6 + 8 + 514 + 8 + 70 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 44473748544 + 9702377738496 = 210888^2 + 3114864^2 .

It is a super-2 number, since 2×9746851487040² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9746851487047) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 185483170 + ... + 185535710.

Almost surely, 2^{9746851487040} is an apocalyptic number.

9746851487040 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 9746851487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18399325484232).

9746851487040 is an abundant number, since it is smaller than the sum of its proper divisors (27051799481424).

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

9746851487040 is a wasteful number, since it uses less digits than its factorization.

9746851487040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53008 (or 52989 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 9746851487040 in words is "nine trillion, seven hundred forty-six billion, eight hundred fifty-one million, four hundred eighty-seven thousand, forty".