9870463733760 has 2496 divisors, whose sum is σ = 43085073088512. Its totient is φ = 2118949797888.

The previous prime is 9870463733749. The next prime is 9870463733771. The reversal of 9870463733760 is 673373640789.

9870463733760 is a `hidden beast` number, since 9 + 8 + 70 + 463 + 7 + 33 + 76 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9870463733749) and next prime (9870463733771).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 77720186817 + ... + 77720186943.

It is an arithmetic number, because the mean of its divisors is an integer number (17261647872).

Almost surely, 2^{9870463733760} is an apocalyptic number.

9870463733760 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 9870463733760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21542536544256).

9870463733760 is an abundant number, since it is smaller than the sum of its proper divisors (33214609354752).

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

9870463733760 is a wasteful number, since it uses less digits than its factorization.

9870463733760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 96018048, while the sum is 63.

The spelling of 9870463733760 in words is "nine trillion, eight hundred seventy billion, four hundred sixty-three million, seven hundred thirty-three thousand, seven hundred sixty".