9876374758656 has 540 divisors, whose sum is σ = 36060759245280. Its totient is φ = 2673299220480.

The previous prime is 9876374758643. The next prime is 9876374758697. The reversal of 9876374758656 is 6568574736789.

9876374758656 is a `hidden beast` number, since 9 + 8 + 7 + 63 + 7 + 475 + 86 + 5 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 19049421 + ... + 19561011.

Almost surely, 2^{9876374758656} is an apocalyptic number.

9876374758656 is a gapful number since it is divisible by the number (96) 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 9876374758656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18030379622640).

9876374758656 is an abundant number, since it is smaller than the sum of its proper divisors (26184384486624).

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

9876374758656 is a wasteful number, since it uses less digits than its factorization.

9876374758656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511652 (or 511622 counting only the distinct ones).

The product of its digits is 12802406400, while the sum is 81.

The spelling of 9876374758656 in words is "nine trillion, eight hundred seventy-six billion, three hundred seventy-four million, seven hundred fifty-eight thousand, six hundred fifty-six".