8657478720000 has 1600 divisors, whose sum is σ = 35454015083520. Its totient is φ = 2067609600000.

The previous prime is 8657478719993. The next prime is 8657478720031. The reversal of 8657478720000 is 278747568.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1600).

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

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, 6747839359 + ... + 6747840641.

Almost surely, 2^{8657478720000} is an apocalyptic number.

8657478720000 is a gapful number since it is divisible by the number (80) 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 8657478720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17727007541760).

8657478720000 is an abundant number, since it is smaller than the sum of its proper divisors (26796536363520).

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

8657478720000 is a wasteful number, since it uses less digits than its factorization.

8657478720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 8657478720000 in words is "eight trillion, six hundred fifty-seven billion, four hundred seventy-eight million, seven hundred twenty thousand".