8956354680 has 640 divisors, whose sum is σ = 38097924480. Its totient is φ = 1836380160.

The previous prime is 8956354637. The next prime is 8956354697. The reversal of 8956354680 is 864536598.

It is a happy number.

8956354680 is a `hidden beast` number, since 8 + 95 + 6 + 3 + 546 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10908670 + ... + 10909490.

It is an arithmetic number, because the mean of its divisors is an integer number (59528007).

Almost surely, 2^8956354680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8956354680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19048962240).

8956354680 is an abundant number, since it is smaller than the sum of its proper divisors (29141569800).

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

8956354680 is a wasteful number, since it uses less digits than its factorization.

8956354680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The square root of 8956354680 is about 94638.0192100405. The cubic root of 8956354680 is about 2076.7159313635.

The spelling of 8956354680 in words is "eight billion, nine hundred fifty-six million, three hundred fifty-four thousand, six hundred eighty".