9701869487040 has 896 divisors, whose sum is σ = 39035218083840. Its totient is φ = 2253953433600.

The previous prime is 9701869487029. The next prime is 9701869487069. The reversal of 9701869487040 is 407849681079.

9701869487040 is a `hidden beast` number, since 9 + 70 + 1 + 86 + 9 + 487 + 0 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 104679120 + ... + 104771760.

Almost surely, 2^{9701869487040} is an apocalyptic number.

9701869487040 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 9701869487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19517609041920).

9701869487040 is an abundant number, since it is smaller than the sum of its proper divisors (29333348596800).

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

9701869487040 is a wasteful number, since it uses less digits than its factorization.

9701869487040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92738 (or 92722 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 9701869487040 in words is "nine trillion, seven hundred one billion, eight hundred sixty-nine million, four hundred eighty-seven thousand, forty".