9677857623840 has 144 divisors (see below), whose sum is σ = 37743644772288. Its totient is φ = 2212081740288.

The previous prime is 9677857623827. The next prime is 9677857623853. The reversal of 9677857623840 is 483267587769.

9677857623840 is a `hidden beast` number, since 9 + 6 + 7 + 7 + 8 + 576 + 2 + 3 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (9677857623827) and next prime (9677857623853).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 480042382 + ... + 480062541.

It is an arithmetic number, because the mean of its divisors is an integer number (262108644252).

Almost surely, 2^{9677857623840} is an apocalyptic number.

9677857623840 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9677857623840 is an abundant number, since it is smaller than the sum of its proper divisors (28065787148448).

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

9677857623840 is a wasteful number, since it uses less digits than its factorization.

9677857623840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960104951 (or 960104940 counting only the distinct ones).

The product of its (nonzero) digits is 853493760, while the sum is 72.

The spelling of 9677857623840 in words is "nine trillion, six hundred seventy-seven billion, eight hundred fifty-seven million, six hundred twenty-three thousand, eight hundred forty".